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85643007864 = 233171009208037
BaseRepresentation
bin100111111000010111…
…0001001011101111000
322012001121102120112020
41033300232021131320
52400344102222424
6103202134514440
76121212361401
oct1176056113570
9265047376466
1085643007864
1133359277447
1214721805a20
1380cb269c1b
1442063ba9a8
152363adb079
hex13f0b89778

85643007864 has 64 divisors (see below), whose sum is σ = 226927850400. Its totient is φ = 26841636864.

The previous prime is 85643007859. The next prime is 85643007899. The reversal of 85643007864 is 46870034658.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 307654 + ... + 515690.

Almost surely, 285643007864 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 85643007864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113463925200).

85643007864 is an abundant number, since it is smaller than the sum of its proper divisors (141284842536).

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

85643007864 is a wasteful number, since it uses less digits than its factorization.

85643007864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209072 (or 209068 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 85643007864 in words is "eighty-five billion, six hundred forty-three million, seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1009 2018 3027 4036 6054 8072 12108 17153 24216 34306 51459 68612 102918 137224 205836 208037 411672 416074 624111 832148 1248222 1664296 2496444 3536629 4992888 7073258 10609887 14146516 21219774 28293032 42439548 84879096 209909333 419818666 629727999 839637332 1259455998 1679274664 2518911996 3568458661 5037823992 7136917322 10705375983 14273834644 21410751966 28547669288 42821503932 85643007864