Search a number
-
+
82790630184756 = 223133734741335709
BaseRepresentation
bin10010110100110000110010…
…000110100101011100110100
3101212010201002100212200102110
4102310300302012211130310
541322420202311403011
6452025253534211020
723303265665243004
oct2264606206453464
9355121070780373
1082790630184756
112441a34443485a
129351466653a70
13372717a0bc480
14166313320a004
1598889332bba6
hex4b4c321a5734

82790630184756 has 96 divisors (see below), whose sum is σ = 214276384183680. Its totient is φ = 24714123784704.

The previous prime is 82790630184727. The next prime is 82790630184799. The reversal of 82790630184756 is 65748103609728.

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, 18664971 + ... + 22670738.

It is an arithmetic number, because the mean of its divisors is an integer number (2232045668580).

It is a 1-persistent number, because it is pandigital, but 2⋅82790630184756 = 165581260369512 is not.

Almost surely, 282790630184756 is an apocalyptic number.

It is an amenable number.

82790630184756 is an abundant number, since it is smaller than the sum of its proper divisors (131485753998924).

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

82790630184756 is a wasteful number, since it uses less digits than its factorization.

82790630184756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41336113 (or 41336111 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 82790630184756 in words is "eighty-two trillion, seven hundred ninety billion, six hundred thirty million, one hundred eighty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 347 444 481 694 962 1041 1388 1443 1924 2082 2886 4164 4511 5772 9022 12839 13533 18044 25678 27066 38517 51356 54132 77034 154068 166907 333814 500721 667628 1001442 2002884 41335709 82671418 124007127 165342836 248014254 496028508 537364217 1074728434 1529421233 1612092651 2149456868 3058842466 3224185302 4588263699 6117684932 6448370604 9176527398 14343491023 18353054796 19882476029 28686982046 39764952058 43030473069 57373964092 59647428087 79529904116 86060946138 119294856174 172121892276 186465383299 238589712348 372930766598 530709167851 559396149897 745861533196 1061418335702 1118792299794 1592127503553 2122836671404 2237584599588 3184255007106 6368510014212 6899219182063 13798438364126 20697657546189 27596876728252 41395315092378 82790630184756