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38076002496 = 263279443453
BaseRepresentation
bin100011011101100000…
…011011000011000000
310122021120201100002200
4203131200123003000
51110434424034441
625254124513200
72515362452430
oct433540330300
9118246640080
1038076002496
1115169a02264
1274676ab800
13378a598bbc
141bb2c582c0
15eccb387b6
hex8dd81b0c0

38076002496 has 84 divisors (see below), whose sum is σ = 124729140432. Its totient is φ = 10878856704.

The previous prime is 38076002483. The next prime is 38076002519. The reversal of 38076002496 is 69420067083.

38076002496 is a `hidden beast` number, since 38 + 0 + 7 + 600 + 2 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4717695 + ... + 4725758.

Almost surely, 238076002496 is an apocalyptic number.

38076002496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38076002496 is an abundant number, since it is smaller than the sum of its proper divisors (86653137936).

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

38076002496 is a wasteful number, since it uses less digits than its factorization.

38076002496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9443478 (or 9443465 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 38076002496 in words is "thirty-eight billion, seventy-six million, two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 9443453 18886906 28330359 37773812 56660718 66104171 75547624 84991077 113321436 132208342 151095248 169982154 198312513 226642872 264416684 302190496 339964308 396625026 453285744 528833368 594937539 604380992 679928616 793250052 906571488 1057666736 1189875078 1359857232 1586500104 1813142976 2115333472 2379750156 2719714464 3173000208 4230666944 4759500312 5439428928 6346000416 9519000624 12692000832 19038001248 38076002496