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78657141216 = 2533147895519
BaseRepresentation
bin100100101000001010…
…1001011100111100000
321112000202021210001110
41021100111023213200
52242042212004331
6100045023303320
75453124445263
oct1112025134740
9245022253043
1078657141216
11303a39a6435
12132b214ab40
137556b72014
143b4269ccda
1520a5664946
hex125054b9e0

78657141216 has 96 divisors (see below), whose sum is σ = 213218611200. Its totient is φ = 25363376640.

The previous prime is 78657141193. The next prime is 78657141223. The reversal of 78657141216 is 61214175687.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 14249305 + ... + 14254823.

It is an arithmetic number, because the mean of its divisors is an integer number (2221027200).

Almost surely, 278657141216 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 78657141216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106609305600).

78657141216 is an abundant number, since it is smaller than the sum of its proper divisors (134561469984).

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

78657141216 is a wasteful number, since it uses less digits than its factorization.

78657141216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10352 (or 10344 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The spelling of 78657141216 in words is "seventy-eight billion, six hundred fifty-seven million, one hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4789 5519 9578 11038 14367 16557 19156 22076 28734 33114 38312 44152 57468 66228 76624 88304 114936 132456 148459 153248 171089 176608 229872 264912 296918 342178 445377 459744 513267 529824 593836 684356 890754 1026534 1187672 1368712 1781508 2053068 2375344 2737424 3563016 4106136 4750688 5474848 7126032 8212272 14252064 16424544 26430491 52860982 79291473 105721964 158582946 211443928 317165892 422887856 634331784 819345221 845775712 1268663568 1638690442 2458035663 2537327136 3277380884 4916071326 6554761768 9832142652 13109523536 19664285304 26219047072 39328570608 78657141216