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75680702112 = 25319109380657
BaseRepresentation
bin100011001111011101…
…0111101111010100000
321020100022121000012010
41012132322331322200
52214443224431422
654433420032520
75316303232251
oct1063672757240
9236308530163
1075680702112
112a106868704
1212801392740
1371a1319952
14393d26ab28
151e7e1c6b0c
hex119eebdea0

75680702112 has 96 divisors (see below), whose sum is σ = 211036795200. Its totient is φ = 23679848448.

The previous prime is 75680702089. The next prime is 75680702117. The reversal of 75680702112 is 21120708657.

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

It is a super-4 number, since 4×756807021124 (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (75680702117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8488 + ... + 389144.

It is an arithmetic number, because the mean of its divisors is an integer number (2198299950).

Almost surely, 275680702112 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 75680702112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105518397600).

75680702112 is an abundant number, since it is smaller than the sum of its proper divisors (135356093088).

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

75680702112 is a wasteful number, since it uses less digits than its factorization.

75680702112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380798 (or 380790 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 75680702112 in words is "seventy-five billion, six hundred eighty million, seven hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 109 114 152 218 228 304 327 436 456 608 654 872 912 1308 1744 1824 2071 2616 3488 4142 5232 6213 8284 10464 12426 16568 24852 33136 49704 66272 99408 198816 380657 761314 1141971 1522628 2283942 3045256 4567884 6090512 7232483 9135768 12181024 14464966 18271536 21697449 28929932 36543072 41491613 43394898 57859864 82983226 86789796 115719728 124474839 165966452 173579592 231439456 248949678 331932904 347159184 497899356 663865808 694318368 788340647 995798712 1327731616 1576681294 1991597424 2365021941 3153362588 3983194848 4730043882 6306725176 9460087764 12613450352 18920175528 25226900704 37840351056 75680702112