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82509061236 = 223737208112757
BaseRepresentation
bin100110011010111101…
…1000101110001110100
321212222012100120221220
41030311323011301310
52322434304424421
6101523143310340
75650436306640
oct1146573056164
9255865316856
1082509061236
1131aa0239a08
1213ba814b3b0
137a1bbb7734
143dca0a7c20
15222d8d93c6
hex1335ec5c74

82509061236 has 96 divisors (see below), whose sum is σ = 226097071872. Its totient is φ = 22924062720.

The previous prime is 82509061223. The next prime is 82509061277. The reversal of 82509061236 is 63216090528.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6461370 + ... + 6474126.

It is an arithmetic number, because the mean of its divisors is an integer number (2355177832).

Almost surely, 282509061236 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 82509061236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113048535936).

82509061236 is an abundant number, since it is smaller than the sum of its proper divisors (143588010636).

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

82509061236 is a wasteful number, since it uses less digits than its factorization.

82509061236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14889 (or 14887 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 82509061236 in words is "eighty-two billion, five hundred nine million, sixty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 2081 3108 4162 6243 8324 12486 12757 14567 24972 25514 29134 38271 43701 51028 58268 76542 76997 87402 89299 153084 153994 174804 178598 230991 267897 307988 357196 461982 472009 535794 538979 923964 944018 1071588 1077958 1416027 1616937 1888036 2155916 2832054 3233874 3304063 5664108 6467748 6608126 9912189 13216252 19824378 26547317 39648756 53094634 79641951 106189268 159283902 185831219 318567804 371662438 557493657 743324876 982250729 1114987314 1964501458 2229974628 2946752187 3929002916 5893504374 6875755103 11787008748 13751510206 20627265309 27503020412 41254530618 82509061236