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21688973925 = 3522335472269
BaseRepresentation
bin10100001100110000…
…110111101001100101
32001222112122000220120
4110030300313221211
5323404334131200
613544101552153
71365321144063
oct241460675145
961875560816
1021688973925
11921a951143
124253715659
1320785935a8
14109a73b033
1586e1929a0
hex50cc37a65

21688973925 has 48 divisors (see below), whose sum is σ = 36094743360. Its totient is φ = 11491683840.

The previous prime is 21688973923. The next prime is 21688974071. The reversal of 21688973925 is 52937988612.

It is not a de Polignac number, because 21688973925 - 21 = 21688973923 is a prime.

It is a super-3 number, since 3×216889739253 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21688973921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9557691 + ... + 9559959.

It is an arithmetic number, because the mean of its divisors is an integer number (751973820).

Almost surely, 221688973925 is an apocalyptic number.

21688973925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21688973925 is a deficient number, since it is larger than the sum of its proper divisors (14405769435).

21688973925 is a wasteful number, since it uses less digits than its factorization.

21688973925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3057 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 60.

The spelling of 21688973925 in words is "twenty-one billion, six hundred eighty-eight million, nine hundred seventy-three thousand, nine hundred twenty-five".

Divisors: 1 3 5 15 25 75 233 547 699 1165 1641 2269 2735 3495 5825 6807 8205 11345 13675 17475 34035 41025 56725 127451 170175 382353 528677 637255 1241143 1586031 1911765 2643385 3186275 3723429 6205715 7930155 9558825 13216925 18617145 31028575 39650775 93085725 289186319 867558957 1445931595 4337794785 7229657975 21688973925