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21054026232 = 2332372213599
BaseRepresentation
bin10011100110111010…
…101111000111111000
32000100021212100102100
4103212322233013320
5321104312314412
613401100503400
71343511161451
oct234672570770
960307770370
1021054026232
118a244a3588
1240b6b4ab60
131ca6b7c9b5
14103a298128
1583356eedc
hex4e6eaf1f8

21054026232 has 72 divisors (see below), whose sum is σ = 58604364000. Its totient is φ = 6828300864.

The previous prime is 21054026221. The next prime is 21054026239. The reversal of 21054026232 is 23262045012.

It is a happy number.

21054026232 is a `hidden beast` number, since 21 + 0 + 5 + 402 + 6 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 21054026196 and 21054026205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21054026239) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8232 + ... + 205367.

It is an arithmetic number, because the mean of its divisors is an integer number (813949500).

Almost surely, 221054026232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21054026232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302182000).

21054026232 is an abundant number, since it is smaller than the sum of its proper divisors (37550337768).

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

21054026232 is a wasteful number, since it uses less digits than its factorization.

21054026232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213685 (or 213641 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 21054026232 in words is "twenty-one billion, fifty-four million, twenty-six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 1369 2664 2738 4107 5476 8214 10952 12321 16428 24642 32856 49284 98568 213599 427198 640797 854396 1281594 1708792 1922391 2563188 3844782 5126376 7689564 7903163 15379128 15806326 23709489 31612652 47418978 63225304 71128467 94837956 142256934 189675912 284513868 292417031 569027736 584834062 877251093 1169668124 1754502186 2339336248 2631753279 3509004372 5263506558 7018008744 10527013116 21054026232