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32490491904 = 212391331
BaseRepresentation
bin11110010000100101…
…011001000000000000
310002212022121000000000
4132100211121000000
51013020031220104
622532000000000
72230100424123
oct362045310000
9102768530000
1032490491904
1112863043502
126369000000
1330aa345850
1418031023ba
15ca25c7639
hex790959000

32490491904 has 520 divisors, whose sum is σ = 108340325632. Its totient is φ = 9674588160.

The previous prime is 32490491857. The next prime is 32490491933. The reversal of 32490491904 is 40919409423.

32490491904 is a `hidden beast` number, since 32 + 49 + 0 + 491 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 32490491904.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1048080369 + ... + 1048080399.

Almost surely, 232490491904 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 32490491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54170162816).

32490491904 is an abundant number, since it is smaller than the sum of its proper divisors (75849833728).

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

32490491904 is an frugal number, since it uses more digits than its factorization.

32490491904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 32490491904 in words is "thirty-two billion, four hundred ninety million, four hundred ninety-one thousand, nine hundred four".