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38985525824 = 267289139681
BaseRepresentation
bin100100010011101101…
…111110101001000000
310201121222010220112212
4210103231332221000
51114320243311244
625524255041252
72550045334100
oct442355765100
9121558126485
1038985525824
1115596349633
127680210228
1338a3b4819b
141c5b973200
1510328e6d9e
hex913b7ea40

38985525824 has 84 divisors (see below), whose sum is σ = 91004219820. Its totient is φ = 16520232960.

The previous prime is 38985525809. The next prime is 38985525869. The reversal of 38985525824 is 42852558983.

It can be written as a sum of positive squares in 2 ways, for example, as 5800345600 + 33185180224 = 76160^2 + 182168^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209264 + ... + 348944.

Almost surely, 238985525824 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 38985525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45502109910).

38985525824 is an abundant number, since it is smaller than the sum of its proper divisors (52018693996).

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

38985525824 is a wasteful number, since it uses less digits than its factorization.

38985525824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139796 (or 139779 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 59.

The spelling of 38985525824 in words is "thirty-eight billion, nine hundred eighty-five million, five hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 178 196 224 356 392 448 623 712 784 1246 1424 1568 2492 2848 3136 4361 4984 5696 8722 9968 17444 19936 34888 39872 69776 139552 139681 279104 279362 558724 977767 1117448 1955534 2234896 3911068 4469792 6844369 7822136 8939584 12431609 13688738 15644272 24863218 27377476 31288544 49726436 54754952 62577088 87021263 99452872 109509904 174042526 198905744 219019808 348085052 397811488 438039616 609148841 696170104 795622976 1218297682 1392340208 2436595364 2784680416 4873190728 5569360832 9746381456 19492762912 38985525824