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537606485376 = 2735347955147
BaseRepresentation
bin1111101001010111101…
…01111111010110000000
31220101122201110002221020
413310223311333112000
532302004230013001
61050550100425440
753561250504402
oct7645365772600
91811581402836
10537606485376
11197aa7933584
12882373a8280
133b90837559c
141c03d97cb72
15deb7425736
hex7d2bd7f580

537606485376 has 128 divisors (see below), whose sum is σ = 1458024883200. Its totient is φ = 175450748928.

The previous prime is 537606485371. The next prime is 537606485441. The reversal of 537606485376 is 673584606735.

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

It is a super-2 number, since 2×5376064853762 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537606485371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9721035 + ... + 9776181.

It is an arithmetic number, because the mean of its divisors is an integer number (11390819400).

Almost surely, 2537606485376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537606485376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729012441600).

537606485376 is an abundant number, since it is smaller than the sum of its proper divisors (920418397824).

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

537606485376 is a wasteful number, since it uses less digits than its factorization.

537606485376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55696 (or 55684 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 60.

The spelling of 537606485376 in words is "five hundred thirty-seven billion, six hundred six million, four hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 479 636 848 958 1272 1437 1696 1916 2544 2874 3392 3832 5088 5748 6784 7664 10176 11496 15328 20352 22992 25387 30656 45984 50774 55147 61312 76161 91968 101548 110294 152322 165441 183936 203096 220588 304644 330882 406192 441176 609288 661764 812384 882352 1218576 1323528 1624768 1764704 2437152 2647056 2922791 3249536 3529408 4874304 5294112 5845582 7058816 8768373 9748608 10588224 11691164 17536746 21176448 23382328 26415413 35073492 46764656 52830826 70146984 79246239 93529312 105661652 140293968 158492478 187058624 211323304 280587936 316984956 374117248 422646608 561175872 633969912 845293216 1122351744 1267939824 1400016889 1690586432 2535879648 2800033778 3381172864 4200050667 5071759296 5600067556 8400101334 10143518592 11200135112 16800202668 22400270224 33600405336 44800540448 67200810672 89601080896 134401621344 179202161792 268803242688 537606485376