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10140555264 = 21137235783
BaseRepresentation
bin10010111000110110…
…01001100000000000
3222011201020120200220
421130123021200000
5131231440232024
64354123143040
7506202204030
oct113433114000
928151216626
1010140555264
114334096294
121b70074a80
13c57b60478
146c2aad8c0
153e53c3e79
hex25c6c9800

10140555264 has 96 divisors (see below), whose sum is σ = 30897135360. Its totient is φ = 2897289216.

The previous prime is 10140555239. The next prime is 10140555283. The reversal of 10140555264 is 46255504101.

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

It is a super-2 number, since 2×101405552642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74884 + ... + 160899.

It is an arithmetic number, because the mean of its divisors is an integer number (321845160).

Almost surely, 210140555264 is an apocalyptic number.

10140555264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10140555264 is an abundant number, since it is smaller than the sum of its proper divisors (20756580096).

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

10140555264 is an equidigital number, since it uses as much as digits as its factorization.

10140555264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235815 (or 235795 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 10140555264 in words is "ten billion, one hundred forty million, five hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 235783 471566 707349 943132 1414698 1650481 1886264 2829396 3300962 3772528 4951443 5658792 6601924 7545056 9902886 11317584 13203848 15090112 19805772 22635168 26407696 30180224 39611544 45270336 52815392 60360448 79223088 90540672 105630784 120720896 158446176 181081344 211261568 241441792 316892352 362162688 422523136 482883584 633784704 724325376 845046272 1267569408 1448650752 1690092544 2535138816 3380185088 5070277632 10140555264