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21610928400 = 2435218009107
BaseRepresentation
bin10100001000000111…
…001001100100010000
32001210002202220120120
4110020013021210100
5323224344202100
613532233110240
71363352601105
oct241007114420
961702686516
1021610928400
11918a895406
124231558380
1320653689c9
141090222aac
158673c80a0
hex5081c9910

21610928400 has 60 divisors (see below), whose sum is σ = 69227011152. Its totient is φ = 5762913920.

The previous prime is 21610928387. The next prime is 21610928407. The reversal of 21610928400 is 482901612.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (21610928407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9003354 + ... + 9005753.

Almost surely, 221610928400 is an apocalyptic number.

21610928400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21610928400 is an abundant number, since it is smaller than the sum of its proper divisors (47616082752).

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

21610928400 is a wasteful number, since it uses less digits than its factorization.

21610928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18009128 (or 18009117 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 21610928400 in words is "twenty-one billion, six hundred ten million, nine hundred twenty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 18009107 36018214 54027321 72036428 90045535 108054642 144072856 180091070 216109284 270136605 288145712 360182140 432218568 450227675 540273210 720364280 864437136 900455350 1080546420 1350683025 1440728560 1800910700 2161092840 2701366050 3601821400 4322185680 5402732100 7203642800 10805464200 21610928400