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82683038628 = 2233765583691
BaseRepresentation
bin100110100000001001…
…0110000101110100100
321220102022201120002000
41031000102300232210
52323313324214003
6101552320245300
75654651142441
oct1150022605644
9256368646060
1082683038628
113207a468783
1214036470830
137a48c60238
1440052349c8
15223dd031a3
hex13404b0ba4

82683038628 has 24 divisors (see below), whose sum is σ = 214363433760. Its totient is φ = 27561012840.

The previous prime is 82683038617. The next prime is 82683038657.

82683038628 is a `hidden beast` number, since 8 + 2 + 6 + 8 + 3 + 0 + 3 + 8 + 628 = 666.

82683038628 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382791738 + ... + 382791953.

It is an arithmetic number, because the mean of its divisors is an integer number (8931809740).

Almost surely, 282683038628 is an apocalyptic number.

It is an amenable number.

82683038628 is an abundant number, since it is smaller than the sum of its proper divisors (131680395132).

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

82683038628 is a wasteful number, since it uses less digits than its factorization.

82683038628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765583704 (or 765583696 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 82683038628 in words is "eighty-two billion, six hundred eighty-three million, thirty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 765583691 1531167382 2296751073 3062334764 4593502146 6890253219 9187004292 13780506438 20670759657 27561012876 41341519314 82683038628