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21641152968 = 233457792
BaseRepresentation
bin10100001001111010…
…011100100111001000
32001212012122110220000
4110021322130213020
5323310113343333
613535233003000
71364200523301
oct241172344710
961765573800
1021641152968
1191a5959596
12423b6b3460
13206b6bbc76
14109424d7a8
15869d98713
hex509e9c9c8

21641152968 has 60 divisors (see below), whose sum is σ = 60625757115. Its totient is φ = 7212469392.

The previous prime is 21641152957. The next prime is 21641152993. The reversal of 21641152968 is 86925114612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

21641152968 is a `hidden beast` number, since 2 + 1 + 64 + 1 + 1 + 529 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10820576484 + 10820576484 = 104022^2 + 104022^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=104022.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3741903 + ... + 3747681.

Almost surely, 221641152968 is an apocalyptic number.

It is an amenable number.

21641152968 is an abundant number, since it is smaller than the sum of its proper divisors (38984604147).

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

21641152968 is an frugal number, since it uses more digits than its factorization.

21641152968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11576 (or 5784 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 21641152968 in words is "twenty-one billion, six hundred forty-one million, one hundred fifty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 5779 11558 17337 23116 34674 46232 52011 69348 104022 138696 156033 208044 312066 416088 468099 624132 936198 1248264 1872396 3744792 33396841 66793682 100190523 133587364 200381046 267174728 300571569 400762092 601143138 801524184 901714707 1202286276 1803429414 2404572552 2705144121 3606858828 5410288242 7213717656 10820576484 21641152968