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853048484736 = 27373110237237
BaseRepresentation
bin11000110100111011010…
…01101110001110000000
310000112212102012222111120
430122131221232032000
5102434020403002421
61451515101312240
7115426223324250
oct14323551561600
93015772188446
10853048484736
112a98596a3518
121193b0265680
1362599478406
142d4058bd960
15172ca6068c6
hexc69da6e380

853048484736 has 128 divisors (see below), whose sum is σ = 2673147586560. Its totient is φ = 235865917440.

The previous prime is 853048484731. The next prime is 853048484741. The reversal of 853048484736 is 637484840358.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (853048484731) and next prime (853048484741).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 853048484736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853048484731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5035291 + ... + 5201946.

It is an arithmetic number, because the mean of its divisors is an integer number (20883965520).

Almost surely, 2853048484736 is an apocalyptic number.

It is an amenable number.

853048484736 is an abundant number, since it is smaller than the sum of its proper divisors (1820099101824).

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

853048484736 is a wasteful number, since it uses less digits than its factorization.

853048484736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10237292 (or 10237280 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 853048484736 in words is "eight hundred fifty-three billion, forty-eight million, four hundred eighty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 336 372 384 434 448 496 651 672 744 868 896 992 1302 1344 1488 1736 1984 2604 2688 2976 3472 3968 5208 5952 6944 10416 11904 13888 20832 27776 41664 83328 10237237 20474474 30711711 40948948 61423422 71660659 81897896 122846844 143321318 163795792 214981977 245693688 286642636 317354347 327591584 429963954 491387376 573285272 634708694 655183168 859927908 952063041 982774752 1146570544 1269417388 1310366336 1719855816 1904126082 1965549504 2221480429 2293141088 2538834776 3439711632 3808252164 3931099008 4442960858 4586282176 5077669552 6664441287 6879423264 7616504328 8885921716 9172564352 10155339104 13328882574 13758846528 15233008656 17771843432 20310678208 26657765148 27517693056 30466017312 35543686864 40621356416 53315530296 60932034624 71087373728 106631060592 121864069248 142174747456 213262121184 284349494912 426524242368 853048484736