Search a number
-
+
31076884728 = 233219101224921
BaseRepresentation
bin11100111100010100…
…111010000011111000
32222012210122022111200
4130330110322003320
51002121140302403
622135421254200
72150054106321
oct347424720370
988183568450
1031076884728
11121a810050a
126033704360
132c135116b6
14170b48b448
15c1d445ca3
hex73c53a0f8

31076884728 has 96 divisors (see below), whose sum is σ = 89473971600. Its totient is φ = 9716544000.

The previous prime is 31076884691. The next prime is 31076884739. The reversal of 31076884728 is 82748867013.

It is a happy number.

31076884728 is a `hidden beast` number, since 3 + 107 + 68 + 8 + 472 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25708 + ... + 250628.

Almost surely, 231076884728 is an apocalyptic number.

31076884728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31076884728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44736985800).

31076884728 is an abundant number, since it is smaller than the sum of its proper divisors (58397086872).

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

31076884728 is a wasteful number, since it uses less digits than its factorization.

31076884728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225053 (or 225046 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 31076884728 in words is "thirty-one billion, seventy-six million, eight hundred eighty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 101 114 152 171 202 228 303 342 404 456 606 684 808 909 1212 1368 1818 1919 2424 3636 3838 5757 7272 7676 11514 15352 17271 23028 34542 46056 69084 138168 224921 449842 674763 899684 1349526 1799368 2024289 2699052 4048578 4273499 5398104 8097156 8546998 12820497 16194312 17093996 22717021 25640994 34187992 38461491 45434042 51281988 68151063 76922982 90868084 102563976 136302126 153845964 181736168 204453189 272604252 307691928 408906378 431623399 545208504 817812756 863246798 1294870197 1635625512 1726493596 2589740394 3452987192 3884610591 5179480788 7769221182 10358961576 15538442364 31076884728