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99099001056 = 25311671400653
BaseRepresentation
bin101110001001011000…
…0101100000011100000
3100110210101020212001110
41130102300230003200
53110423321013211
6113305255303320
710105523416266
oct1342260540340
9313711225043
1099099001056
1139033891280
121725807ab40
139463c56483
144b21524436
1528a00b1ea6
hex1712c2c0e0

99099001056 has 96 divisors (see below), whose sum is σ = 288019283328. Its totient is φ = 29581770240.

The previous prime is 99099001031. The next prime is 99099001063. The reversal of 99099001056 is 65010099099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×990990010562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 99099000996 and 99099001014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629575 + ... + 771078.

It is an arithmetic number, because the mean of its divisors is an integer number (3000200868).

Almost surely, 299099001056 is an apocalyptic number.

99099001056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

99099001056 is an abundant number, since it is smaller than the sum of its proper divisors (188920282272).

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

99099001056 is a wasteful number, since it uses less digits than its factorization.

99099001056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400744 (or 1400736 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 48.

The spelling of 99099001056 in words is "ninety-nine billion, ninety-nine million, one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 67 88 96 132 134 176 201 264 268 352 402 528 536 737 804 1056 1072 1474 1608 2144 2211 2948 3216 4422 5896 6432 8844 11792 17688 23584 35376 70752 1400653 2801306 4201959 5602612 8403918 11205224 15407183 16807836 22410448 30814366 33615672 44820896 46221549 61628732 67231344 92443098 93843751 123257464 134462688 184886196 187687502 246514928 281531253 369772392 375375004 493029856 563062506 739544784 750750008 1032281261 1126125012 1479089568 1501500016 2064562522 2252250024 3003000032 3096843783 4129125044 4504500048 6193687566 8258250088 9009000096 12387375132 16516500176 24774750264 33033000352 49549500528 99099001056