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2132653608 = 233240972421
BaseRepresentation
bin111111100011101…
…1011011000101000
312111121222000202200
41333013123120220
513331424403413
6551342100200
7103564154001
oct17707333050
95447860680
102132653608
119a4911248
124b627a660
1327cab1917
1416334a1a8
15c7367573
hex7f1db628

2132653608 has 48 divisors (see below), whose sum is σ = 5790138900. Its totient is φ = 709136640.

The previous prime is 2132653603. The next prime is 2132653631. The reversal of 2132653608 is 8063562312.

It is a happy number.

2132653608 is a `hidden beast` number, since 21 + 3 + 26 + 5 + 3 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1932657444 + 199996164 = 43962^2 + 14142^2 .

It is a super-2 number, since 2×21326536082 = 9096422823430835328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2132653603) 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, 6763 + ... + 65658.

Almost surely, 22132653608 is an apocalyptic number.

It is an amenable number.

2132653608 is an abundant number, since it is smaller than the sum of its proper divisors (3657485292).

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

2132653608 is a wasteful number, since it uses less digits than its factorization.

2132653608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72842 (or 72835 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2132653608 is about 46180.6627063753. The cubic root of 2132653608 is about 1287.1824425353.

The spelling of 2132653608 in words is "two billion, one hundred thirty-two million, six hundred fifty-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 409 818 1227 1636 2454 3272 3681 4908 7362 9816 14724 29448 72421 144842 217263 289684 434526 579368 651789 869052 1303578 1738104 2607156 5214312 29620189 59240378 88860567 118480756 177721134 236961512 266581701 355442268 533163402 710884536 1066326804 2132653608