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82357618932 = 22322287711637
BaseRepresentation
bin100110010110011100…
…1011000100011110100
321212120122101112011200
41030230321120203310
52322132022301212
6101500133332500
75643620132121
oct1145471304364
9255518345150
1082357618932
1131a22802086
1213b65497130
1379c67021c4
143db3d25748
1522204726dc
hex132ce588f4

82357618932 has 18 divisors (see below), whose sum is σ = 208181759058. Its totient is φ = 27452539632.

The previous prime is 82357618921. The next prime is 82357618939. The reversal of 82357618932 is 23981675328.

82357618932 is a `hidden beast` number, since 8 + 23 + 576 + 18 + 9 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50056902756 + 32300716176 = 223734^2 + 179724^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×823576189322 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82357618939) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1143855783 + ... + 1143855854.

It is an arithmetic number, because the mean of its divisors is an integer number (11565653281).

Almost surely, 282357618932 is an apocalyptic number.

It is an amenable number.

82357618932 is an abundant number, since it is smaller than the sum of its proper divisors (125824140126).

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

82357618932 is a wasteful number, since it uses less digits than its factorization.

82357618932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287711647 (or 2287711642 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 82357618932 in words is "eighty-two billion, three hundred fifty-seven million, six hundred eighteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2287711637 4575423274 6863134911 9150846548 13726269822 20589404733 27452539644 41178809466 82357618932