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2131537968 = 243272114621
BaseRepresentation
bin111111100001100…
…1011000000110000
312111112212100101200
41333003023000300
513331133203333
6551302131200
7103551526260
oct17703130060
95445770350
102131537968
119a421a02a
124b5a20b00
1327c7b0b91
141631397a0
15c71e6c13
hex7f0cb030

2131537968 has 60 divisors (see below), whose sum is σ = 6817541328. Its totient is φ = 609010560.

The previous prime is 2131537963. The next prime is 2131537987. The reversal of 2131537968 is 8697351312.

2131537968 is a `hidden beast` number, since 21 + 3 + 1 + 537 + 96 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2131537963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1056303 + ... + 1058318.

Almost surely, 22131537968 is an apocalyptic number.

2131537968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2131537968 is an abundant number, since it is smaller than the sum of its proper divisors (4686003360).

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

2131537968 is a wasteful number, since it uses less digits than its factorization.

2131537968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114642 (or 2114633 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 2131537968 is about 46168.5820445029. The cubic root of 2131537968 is about 1286.9579518359.

The spelling of 2131537968 in words is "two billion, one hundred thirty-one million, five hundred thirty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2114621 4229242 6343863 8458484 12687726 14802347 16916968 19031589 25375452 29604694 33833936 38063178 44407041 50750904 59209388 76126356 88814082 101501808 118418776 133221123 152252712 177628164 236837552 266442246 304505424 355256328 532884492 710512656 1065768984 2131537968