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38140681572 = 2234783202613
BaseRepresentation
bin100011100001010111…
…001001110101100100
310122110002102101010000
4203201113021311210
51111103003302242
625304355101300
72520106305240
oct434127116544
9118402371100
1038140681572
11151a2469644
1274852a1830
13379aac3846
141bbb693420
15ed3662a4c
hex8e15c9d64

38140681572 has 120 divisors (see below), whose sum is σ = 115324646976. Its totient is φ = 10765991232.

The previous prime is 38140681559. The next prime is 38140681597. The reversal of 38140681572 is 27518604183.

38140681572 is a `hidden beast` number, since 3 + 8 + 14 + 0 + 68 + 1 + 572 = 666.

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 39 ways as a sum of consecutive naturals, for example, 86938 + ... + 289550.

Almost surely, 238140681572 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 38140681572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57662323488).

38140681572 is an abundant number, since it is smaller than the sum of its proper divisors (77183965404).

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

38140681572 is a wasteful number, since it uses less digits than its factorization.

38140681572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202719 (or 202708 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 38140681572 in words is "thirty-eight billion, one hundred forty million, six hundred eighty-one thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 83 84 108 126 162 166 189 249 252 324 332 378 498 567 581 747 756 996 1134 1162 1494 1743 2241 2268 2324 2988 3486 4482 5229 6723 6972 8964 10458 13446 15687 20916 26892 31374 47061 62748 94122 188244 202613 405226 607839 810452 1215678 1418291 1823517 2431356 2836582 3647034 4254873 5470551 5673164 7294068 8509746 10941102 12764619 16411653 16816879 17019492 21882204 25529238 32823306 33633758 38293857 50450637 51058476 65646612 67267516 76587714 100901274 114881571 117718153 151351911 153175428 201802548 229763142 235436306 302703822 353154459 454055733 459526284 470872612 605407644 706308918 908111466 1059463377 1362167199 1412617836 1816222932 2118926754 2724334398 3178390131 4237853508 5448668796 6356780262 9535170393 12713560524 19070340786 38140681572