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21681256872 = 23311409200797
BaseRepresentation
bin10100001100010011…
…011011100110101000
32001222000002222002210
4110030103123212220
5323400400204442
613543224325120
71365165433302
oct241423334650
961860088083
1021681256872
119216560210
1242510137a0
132076ac0ba2
1410996cc972
1586d66b19c
hex50c4db9a8

21681256872 has 64 divisors (see below), whose sum is σ = 59275569600. Its totient is φ = 6553981440.

The previous prime is 21681256721. The next prime is 21681256879. The reversal of 21681256872 is 27865218612.

It is not an unprimeable number, because it can be changed into a prime (21681256879) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7578 + ... + 208374.

It is an arithmetic number, because the mean of its divisors is an integer number (926180775).

Almost surely, 221681256872 is an apocalyptic number.

21681256872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21681256872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29637784800).

21681256872 is an abundant number, since it is smaller than the sum of its proper divisors (37594312728).

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

21681256872 is a wasteful number, since it uses less digits than its factorization.

21681256872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201226 (or 201222 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The spelling of 21681256872 in words is "twenty-one billion, six hundred eighty-one million, two hundred fifty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 409 818 1227 1636 2454 3272 4499 4908 8998 9816 13497 17996 26994 35992 53988 107976 200797 401594 602391 803188 1204782 1606376 2208767 2409564 4417534 4819128 6626301 8835068 13252602 17670136 26505204 53010408 82125973 164251946 246377919 328503892 492755838 657007784 903385703 985511676 1806771406 1971023352 2710157109 3613542812 5420314218 7227085624 10840628436 21681256872