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38292990464 = 29149501953
BaseRepresentation
bin100011101010011100…
…001010101000000000
310122211201000110122002
4203222130022220000
51111411001143324
625331435403132
72523636022421
oct435234125000
9118751013562
1038292990464
1115270438563
1275082b34a8
1337c3520651
141bd39bd648
15ee1beb3ae
hex8ea70aa00

38292990464 has 40 divisors (see below), whose sum is σ = 77024841300. Its totient is φ = 19017957376.

The previous prime is 38292990397. The next prime is 38292990479. The reversal of 38292990464 is 46409929283.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 38196793600 + 96196864 = 195440^2 + 9808^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174689 + ... + 327264.

Almost surely, 238292990464 is an apocalyptic number.

It is an amenable number.

38292990464 is an abundant number, since it is smaller than the sum of its proper divisors (38731850836).

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

38292990464 is an equidigital number, since it uses as much as digits as its factorization.

38292990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502120 (or 502104 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 56.

The spelling of 38292990464 in words is "thirty-eight billion, two hundred ninety-two million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 149 256 298 512 596 1192 2384 4768 9536 19072 38144 76288 501953 1003906 2007812 4015624 8031248 16062496 32124992 64249984 74790997 128499968 149581994 256999936 299163988 598327976 1196655952 2393311904 4786623808 9573247616 19146495232 38292990464