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107445397968 = 24331127322063
BaseRepresentation
bin110010000010000111…
…1101010100111010000
3101021100001110202012000
41210010033222213100
53230022010213333
6121205411434000
710522411546056
oct1440417524720
9337301422160
10107445397968
1141627142867
12189a72b5900
13a19419077c
1452b3bdc1d6
152bdcbd3713
hex19043ea9d0

107445397968 has 80 divisors (see below), whose sum is σ = 308449424640. Its totient is φ = 35810332416.

The previous prime is 107445397933. The next prime is 107445398017. The reversal of 107445397968 is 869793544701.

107445397968 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 4 + 539 + 7 + 96 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4858905 + ... + 4880967.

It is an arithmetic number, because the mean of its divisors is an integer number (3855617808).

Almost surely, 2107445397968 is an apocalyptic number.

107445397968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107445397968 is an abundant number, since it is smaller than the sum of its proper divisors (201004026672).

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

107445397968 is a wasteful number, since it uses less digits than its factorization.

107445397968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33353 (or 33341 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 107445397968 in words is "one hundred seven billion, four hundred forty-five million, three hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 11273 22063 22546 33819 44126 45092 66189 67638 88252 90184 101457 132378 135276 176504 180368 198567 202914 264756 270552 304371 353008 397134 405828 529512 541104 595701 608742 794268 811656 1059024 1191402 1217484 1588536 1623312 2382804 2434968 3177072 4765608 4869936 9531216 248716199 497432398 746148597 994864796 1492297194 1989729592 2238445791 2984594388 3979459184 4476891582 5969188776 6715337373 8953783164 11938377552 13430674746 17907566328 26861349492 35815132656 53722698984 107445397968