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85645719756 = 22323449689779
BaseRepresentation
bin100111111000011100…
…0011111100011001100
322012001210112100112200
41033300320133203030
52400400301013011
6103202313001500
76121244414652
oct1176070374314
9265053470480
1085645719756
113335a859983
12147226b3290
1380cb9a93ac
1442068c4dd2
152363e74856
hex13f0e1f8cc

85645719756 has 36 divisors (see below), whose sum is σ = 216556431000. Its totient is φ = 28540254528.

The previous prime is 85645719751. The next prime is 85645719799. The reversal of 85645719756 is 65791754658.

85645719756 is a `hidden beast` number, since 8 + 5 + 6 + 4 + 571 + 9 + 7 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 85645719693 and 85645719702.

It is not an unprimeable number, because it can be changed into a prime (85645719751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220726 + ... + 469053.

Almost surely, 285645719756 is an apocalyptic number.

It is an amenable number.

85645719756 is an abundant number, since it is smaller than the sum of its proper divisors (130910711244).

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

85645719756 is a wasteful number, since it uses less digits than its factorization.

85645719756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693238 (or 693233 counting only the distinct ones).

The product of its digits is 63504000, while the sum is 63.

The spelling of 85645719756 in words is "eighty-five billion, six hundred forty-five million, seven hundred nineteen thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 3449 6898 10347 13796 20694 31041 41388 62082 124164 689779 1379558 2069337 2759116 4138674 6208011 8277348 12416022 24832044 2379047771 4758095542 7137143313 9516191084 14274286626 21411429939 28548573252 42822859878 85645719756