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85579534912 = 2619238934381
BaseRepresentation
bin100111110110011110…
…0000001001001000000
322011220011222211000011
41033230330001021000
52400231330104122
6103151550234304
76116512021144
oct1175474011100
9264804884004
1085579534912
1133326464263
12147044b5994
1380bb075271
1441dbbb7224
15235d24e377
hex13ecf01240

85579534912 has 112 divisors (see below), whose sum is σ = 188633404800. Its totient is φ = 38338375680.

The previous prime is 85579534877. The next prime is 85579534933. The reversal of 85579534912 is 21943597558.

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, 2471962 + ... + 2506342.

Almost surely, 285579534912 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 85579534912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94316702400).

85579534912 is an abundant number, since it is smaller than the sum of its proper divisors (103053869888).

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

85579534912 is a wasteful number, since it uses less digits than its factorization.

85579534912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34524 (or 34514 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 58.

The spelling of 85579534912 in words is "eighty-five billion, five hundred seventy-nine million, five hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 89 92 152 178 184 304 356 368 437 608 712 736 874 1216 1424 1472 1691 1748 2047 2848 3382 3496 4094 5696 6764 6992 8188 13528 13984 16376 27056 27968 32752 34381 38893 54112 65504 68762 77786 108224 131008 137524 155572 275048 311144 550096 622288 653239 790763 1100192 1244576 1306478 1581526 2200384 2489152 2612956 3059909 3163052 5225912 6119818 6326104 10451824 12239636 12652208 15024497 20903648 24479272 25304416 30048994 41807296 48958544 50608832 58138271 60097988 70377907 97917088 116276542 120195976 140755814 195834176 232553084 240391952 281511628 465106168 480783904 563023256 930212336 961567808 1126046512 1337180233 1860424672 2252093024 2674360466 3720849344 4504186048 5348720932 10697441864 21394883728 42789767456 85579534912