Search a number
-
+
82514939360 = 2557283725969
BaseRepresentation
bin100110011011001000…
…1100000110111100000
321212222121102020020012
41030312101200313200
52322442311024420
6101523513304052
75650540261220
oct1146621406740
9255877366205
1082514939360
1131aa3594267
1213baa105028
137a20195109
143dcab98080
15222e19adc5
hex1336460de0

82514939360 has 96 divisors (see below), whose sum is σ = 222877448640. Its totient is φ = 28279775232.

The previous prime is 82514939333. The next prime is 82514939399. The reversal of 82514939360 is 6393941528.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82514939299 and 82514939308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3164456 + ... + 3190424.

It is an arithmetic number, because the mean of its divisors is an integer number (2321640090).

Almost surely, 282514939360 is an apocalyptic number.

82514939360 is a gapful number since it is divisible by the number (80) 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 82514939360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111438724320).

82514939360 is an abundant number, since it is smaller than the sum of its proper divisors (140362509280).

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

82514939360 is a wasteful number, since it uses less digits than its factorization.

82514939360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28828 (or 28820 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The spelling of 82514939360 in words is "eighty-two billion, five hundred fourteen million, nine hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2837 5674 11348 14185 19859 22696 25969 28370 39718 45392 51938 56740 79436 90784 99295 103876 113480 129845 158872 181783 198590 207752 226960 259690 317744 363566 397180 415504 453920 519380 635488 727132 794360 831008 908915 1038760 1454264 1588720 1817830 2077520 2908528 3177440 3635660 4155040 5817056 7271320 14542640 29085280 73674053 147348106 294696212 368370265 515718371 589392424 736740530 1031436742 1178784848 1473481060 2062873484 2357569696 2578591855 2946962120 4125746968 5157183710 5893924240 8251493936 10314367420 11787848480 16502987872 20628734840 41257469680 82514939360