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82377053676 = 22331940144763
BaseRepresentation
bin100110010111000001…
…1100001010111101100
321212121222221220122000
41030232003201113230
52322202011204201
6101502110052300
75644244255151
oct1145603412754
9255558856560
1082377053676
1131a32776755
1213b6baaa090
1379ca748258
143db6744228
152222010d86
hex132e0e15ec

82377053676 has 48 divisors (see below), whose sum is σ = 224810678400. Its totient is φ = 26013805776.

The previous prime is 82377053669. The next prime is 82377053677. The reversal of 82377053676 is 67635077328.

82377053676 is a `hidden beast` number, since 8 + 2 + 37 + 7 + 0 + 536 + 76 = 666.

It is a super-2 number, since 2×823770536762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (82377053677) 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, 20070330 + ... + 20074433.

It is an arithmetic number, because the mean of its divisors is an integer number (4683555800).

Almost surely, 282377053676 is an apocalyptic number.

It is an amenable number.

82377053676 is an abundant number, since it is smaller than the sum of its proper divisors (142433624724).

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

82377053676 is a wasteful number, since it uses less digits than its factorization.

82377053676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40144795 (or 40144787 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 82377053676 in words is "eighty-two billion, three hundred seventy-seven million, fifty-three thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 40144763 80289526 120434289 160579052 240868578 361302867 481737156 722605734 762750497 1083908601 1445211468 1525500994 2167817202 2288251491 3051001988 4335634404 4576502982 6864754473 9153005964 13729508946 20594263419 27459017892 41188526838 82377053676