Search a number
-
+
3138831696 = 2437111365327
BaseRepresentation
bin1011101100010110…
…1100010101010000
322002202021011121210
42323011230111100
522412020103241
61235244020120
7140532425550
oct27305542520
98082234553
103138831696
111370874790
12737231640
133b03a2b80
1421ac25160
15135869316
hexbb16c550

3138831696 has 160 divisors (see below), whose sum is σ = 10887303168. Its totient is φ = 752555520.

The previous prime is 3138831679. The next prime is 3138831727. The reversal of 3138831696 is 6961388313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15385 + ... + 80711.

Almost surely, 23138831696 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 3138831696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443651584).

3138831696 is an abundant number, since it is smaller than the sum of its proper divisors (7748471472).

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

3138831696 is a wasteful number, since it uses less digits than its factorization.

3138831696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65369 (or 65363 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 3138831696 is about 56025.2772951638. The cubic root of 3138831696 is about 1464.1627144537.

The spelling of 3138831696 in words is "three billion, one hundred thirty-eight million, eight hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 65327 130654 195981 261308 391962 457289 522616 718597 783924 849251 914578 1045232 1371867 1437194 1567848 1698502 1829156 2155791 2547753 2743734 2874388 3135696 3397004 3658312 4311582 5030179 5095506 5487468 5748776 5944757 6794008 7316624 8623164 9341761 10060358 10191012 10974936 11497552 11889514 13588016 15090537 17246328 17834271 18683522 20120716 20382024 21949872 23779028 28025283 30181074 34492656 35668542 37367044 40241432 40764048 47558056 56050566 60362148 65392327 71337084 74734088 80482864 95116112 112101132 120724296 130784654 142674168 149468176 196176981 224202264 241448592 261569308 285348336 392353962 448404528 523138616 784707924 1046277232 1569415848 3138831696