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38256991552 = 261367812
BaseRepresentation
bin100011101000010010…
…110101110101000000
310122202012021112102001
4203220102311311000
51111322242212202
625324112033344
72523021030343
oct435022656500
9118665245361
1038256991552
111525208aa9a
1274b8232854
1337b8c28010
141bccccc45a
15edd989d87
hex8e84b5d40

38256991552 has 42 divisors (see below), whose sum is σ = 81767985054. Its totient is φ = 17654469120.

The previous prime is 38256991517. The next prime is 38256991559. The reversal of 38256991552 is 25519965283.

It can be written as a sum of positive squares in 3 ways, for example, as 658230336 + 37598761216 = 25656^2 + 193904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38256991493 and 38256991502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38256991559) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5638402 + ... + 5645182.

It is an arithmetic number, because the mean of its divisors is an integer number (1946856787).

Almost surely, 238256991552 is an apocalyptic number.

38256991552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38256991552 is an abundant number, since it is smaller than the sum of its proper divisors (43510993502).

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

38256991552 is an frugal number, since it uses more digits than its factorization.

38256991552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13587 (or 6796 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 55.

The spelling of 38256991552 in words is "thirty-eight billion, two hundred fifty-six million, nine hundred ninety-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 6781 13562 27124 54248 88153 108496 176306 216992 352612 433984 705224 1410448 2820896 5641792 45981961 91963922 183927844 367855688 597765493 735711376 1195530986 1471422752 2391061972 2942845504 4782123944 9564247888 19128495776 38256991552