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21756299136 = 2731113396203
BaseRepresentation
bin10100010000110001…
…101100011110000000
32002011020022111201220
4110100301230132000
5324024103033021
613554504555040
71400066330355
oct242061543600
962136274656
1021756299136
119254955610
124272182a80
1320895067b0
1410a566462c
15875040cc6
hex510c6c780

21756299136 has 128 divisors (see below), whose sum is σ = 67893517440. Its totient is φ = 6085662720.

The previous prime is 21756299099. The next prime is 21756299137. The reversal of 21756299136 is 63199265712.

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

It is a super-2 number, since 2×217562991362 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21756299137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143190 + ... + 253013.

It is an arithmetic number, because the mean of its divisors is an integer number (530418105).

Almost surely, 221756299136 is an apocalyptic number.

21756299136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21756299136 is an abundant number, since it is smaller than the sum of its proper divisors (46137218304).

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

21756299136 is a wasteful number, since it uses less digits than its factorization.

21756299136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396244 (or 396232 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The spelling of 21756299136 in words is "twenty-one billion, seven hundred fifty-six million, two hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 18304 27456 54912 396203 792406 1188609 1584812 2377218 3169624 4358233 4754436 5150639 6339248 8716466 9508872 10301278 12678496 13074699 15451917 17432932 19017744 20602556 25356992 26149398 30903834 34865864 38035488 41205112 50713984 52298796 56657029 61807668 69731728 76070976 82410224 104597592 113314058 123615336 139463456 152141952 164820448 169971087 209195184 226628116 247230672 278926912 329640896 339942174 418390368 453256232 494461344 557853824 659281792 679884348 836780736 906512464 988922688 1359768696 1673561472 1813024928 1977845376 2719537392 3626049856 5439074784 7252099712 10878149568 21756299136