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38552289664 = 277304114149
BaseRepresentation
bin100011111001111001…
…010100000110000000
310200111202221020021011
4203321321110012000
51112423341232124
625413301210304
72533235024650
oct437171240600
9120452836234
1038552289664
1115393842919
12757b100994
13383516a925
141c1a1da360
15100986a994
hex8f9e54180

38552289664 has 64 divisors (see below), whose sum is σ = 87810372000. Its totient is φ = 16515809280.

The previous prime is 38552289647. The next prime is 38552289667. The reversal of 38552289664 is 46698225583.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×385522896642 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38552289599 and 38552289608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38552289667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2717662 + ... + 2731810.

Almost surely, 238552289664 is an apocalyptic number.

It is an amenable number.

38552289664 is an abundant number, since it is smaller than the sum of its proper divisors (49258082336).

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

38552289664 is a wasteful number, since it uses less digits than its factorization.

38552289664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17211 (or 17199 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 58.

The spelling of 38552289664 in words is "thirty-eight billion, five hundred fifty-two million, two hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 3041 6082 12164 14149 21287 24328 28298 42574 48656 56596 85148 97312 99043 113192 170296 194624 198086 226384 340592 389248 396172 452768 681184 792344 905536 1362368 1584688 1811072 2724736 3169376 6338752 12677504 43027109 86054218 172108436 301189763 344216872 602379526 688433744 1204759052 1376867488 2409518104 2753734976 4819036208 5507469952 9638072416 19276144832 38552289664