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82915136480 = 25511471002359
BaseRepresentation
bin100110100111000100…
…0001001001111100000
321221000111110100110202
41031032020021033200
52324302233331410
6102031331044332
75663500013531
oct1151610111740
9257014410422
1082915136480
1132189484290
12140a01406a8
137a85075347
144027db0688
15225439cca5
hex134e2093e0

82915136480 has 96 divisors (see below), whose sum is σ = 218241838080. Its totient is φ = 29509419520.

The previous prime is 82915136471. The next prime is 82915136501. The reversal of 82915136480 is 8463151928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 418460 + ... + 583899.

It is an arithmetic number, because the mean of its divisors is an integer number (2273352480).

Almost surely, 282915136480 is an apocalyptic number.

82915136480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82915136480 is an abundant number, since it is smaller than the sum of its proper divisors (135326701600).

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

82915136480 is a wasteful number, since it uses less digits than its factorization.

82915136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002432 (or 1002424 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The spelling of 82915136480 in words is "eighty-two billion, nine hundred fifteen million, one hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 80 88 94 110 160 176 188 220 235 352 376 440 470 517 752 880 940 1034 1504 1760 1880 2068 2585 3760 4136 5170 7520 8272 10340 16544 20680 41360 82720 1002359 2004718 4009436 5011795 8018872 10023590 11025949 16037744 20047180 22051898 32075488 40094360 44103796 47110873 55129745 80188720 88207592 94221746 110259490 160377440 176415184 188443492 220518980 235554365 352830368 376886984 441037960 471108730 518219603 753773968 882075920 942217460 1036439206 1507547936 1764151840 1884434920 2072878412 2591098015 3768869840 4145756824 5182196030 7537739680 8291513648 10364392060 16583027296 20728784120 41457568240 82915136480