Search a number
-
+
112508083717428 = 22372435419821143
BaseRepresentation
bin11001100101001101010100…
…010111010100010100110100
3112202100200000210112201221110
4121211031110113110110310
5104221313023412424203
61035141300010115020
732461304124412500
oct3145152427242464
9482320023481843
10112508083717428
11329374571a6a83
12107509a171ba70
134aa160b658b39
141dad5c5471300
15d018d7d58d03
hex6653545d4534

112508083717428 has 144 divisors (see below), whose sum is σ = 312538968107520. Its totient is φ = 31391772543936.

The previous prime is 112508083717321. The next prime is 112508083717441. The reversal of 112508083717428 is 824717380805211.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136603425 + ... + 137424567.

Almost surely, 2112508083717428 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 112508083717428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156269484053760).

112508083717428 is an abundant number, since it is smaller than the sum of its proper divisors (200030884390092).

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

112508083717428 is a wasteful number, since it uses less digits than its factorization.

112508083717428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826626 (or 826617 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 57.

The spelling of 112508083717428 in words is "one hundred twelve trillion, five hundred eight billion, eighty-three million, seven hundred seventeen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1204 1806 2107 3612 4214 5419 6321 8428 10838 12642 16257 21676 25284 32514 37933 65028 75866 113799 151732 227598 233017 265531 455196 466034 531062 699051 796593 821143 932068 1062124 1398102 1593186 1631119 1642286 2463429 2796204 3186372 3262238 3284572 4893357 4926858 5748001 6524476 9786714 9853716 11417833 11496002 17244003 19573428 22835666 22992004 34253499 34488006 35309149 40236007 45671332 68506998 68976012 70618298 80472014 105927447 120708021 137013996 141236596 160944028 211854894 241416042 247164043 423709788 482832084 494328086 741492129 988656172 1482984258 1730148301 2965968516 3460296602 4449773917 5190444903 6920593204 8899547834 10380889806 13349321751 17799095668 20761779612 26698643502 31148417419 53397287004 62296834838 93445252257 124593669676 186890504514 191340278431 218038921933 373781009028 382680556862 436077843866 574020835293 654116765799 765361113724 872155687732 1148041670586 1308233531598 1339381949017 2296083341172 2616467063196 2678763898034 4018145847051 5357527796068 8036291694102 9375673643119 16072583388204 18751347286238 28127020929357 37502694572476 56254041858714 112508083717428