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107759602116 = 223223293444179
BaseRepresentation
bin110010001011011111…
…0010000100111000100
3101022010221200222020200
41210112332100213010
53231142424231431
6121300514130500
710533245335125
oct1442676204704
9338127628220
10107759602116
1141778539011
1218a74580a30
13a2142c289a
14530382c04c
152c0a59aee6
hex1916f909c4

107759602116 has 72 divisors (see below), whose sum is σ = 285206201280. Its totient is φ = 34240793664.

The previous prime is 107759602081. The next prime is 107759602117. The reversal of 107759602116 is 611206957701.

It is a super-2 number, since 2×1077596021162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107759602117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20515 + ... + 464693.

It is an arithmetic number, because the mean of its divisors is an integer number (3961197240).

Almost surely, 2107759602116 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 107759602116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142603100640).

107759602116 is an abundant number, since it is smaller than the sum of its proper divisors (177446599164).

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

107759602116 is a wasteful number, since it uses less digits than its factorization.

107759602116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444505 (or 444500 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 107759602116 in words is "one hundred seven billion, seven hundred fifty-nine million, six hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 293 414 586 828 879 1172 1758 2637 3516 5274 6739 10548 13478 20217 26956 40434 60651 80868 121302 242604 444179 888358 1332537 1776716 2665074 3997611 5330148 7995222 10216117 15990444 20432234 30648351 40864468 61296702 91945053 122593404 130144447 183890106 260288894 367780212 390433341 520577788 780866682 1171300023 1561733364 2342600046 2993322281 4685200092 5986644562 8979966843 11973289124 17959933686 26939900529 35919867372 53879801058 107759602116