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99195474074976 = 25322316079318707
BaseRepresentation
bin10110100011011110111110…
…111111101101110101100000
3111000012222212010211222100100
4112203132332333231311200
5101000204312330344401
6550545434404022400
726615431214462436
oct2643367677556540
9430188763758310
1099195474074976
1129674623104a84
12b1608b7691a00
134347129616836
141a6d12d752d56
15b7047debcb86
hex5a37befedd60

99195474074976 has 144 divisors (see below), whose sum is σ = 294534987312384. Its totient is φ = 31607857957632.

The previous prime is 99195474074929. The next prime is 99195474075001. The reversal of 99195474074976 is 67947047459199.

99195474074976 is a `hidden beast` number, since 9 + 9 + 1 + 9 + 5 + 474 + 0 + 74 + 9 + 76 = 666.

99195474074976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 99195474074895 and 99195474074904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5985415 + ... + 15304121.

It is an arithmetic number, because the mean of its divisors is an integer number (2045381856336).

Almost surely, 299195474074976 is an apocalyptic number.

99195474074976 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99195474074976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147267493656192).

99195474074976 is an abundant number, since it is smaller than the sum of its proper divisors (195339513237408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99195474074976 is a wasteful number, since it uses less digits than its factorization.

99195474074976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9320353 (or 9320342 counting only the distinct ones).

The product of its (nonzero) digits is 4320812160, while the sum is 81.

The spelling of 99195474074976 in words is "ninety-nine trillion, one hundred ninety-five billion, four hundred seventy-four million, seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1607 1656 2208 3214 3312 4821 6428 6624 9642 12856 14463 19284 25712 28926 36961 38568 51424 57852 73922 77136 110883 115704 147844 154272 221766 231408 295688 332649 443532 462816 591376 665298 887064 1182752 1330596 1774128 2661192 3548256 5322384 9318707 10644768 18637414 27956121 37274828 55912242 74549656 83868363 111824484 149099312 167736726 214330261 223648968 298198624 335473452 428660522 447297936 642990783 670946904 857321044 894595872 1285981566 1341893808 1714642088 1928972349 2571963132 2683787616 3429284176 3857944698 5143926264 6858568352 7715889396 10287852528 14975162149 15431778792 20575705056 29950324298 30863557584 44925486447 59900648596 61727115168 89850972894 119801297192 134776459341 179701945788 239602594384 269552918682 344428729427 359403891576 479205188768 539105837364 688857458854 718807783152 1033286188281 1078211674728 1377714917708 1437615566304 2066572376562 2156423349456 2755429835416 3099858564843 4133144753124 4312846698912 5510859670832 6199717129686 8266289506248 11021719341664 12399434259372 16532579012496 24798868518744 33065158024992 49597737037488 99195474074976