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102960197856 = 2532615860667
BaseRepresentation
bin101111111100011100…
…1111111000011100000
3100211202110202222022100
41133320321333003200
53141330302312411
6115144350210400
710303310145645
oct1377071770340
9324673688270
10102960197856
113a73539060a
1217b551b3a00
13992ab994c9
144daa265dcc
152a2906a456
hex17f8e7f0e0

102960197856 has 72 divisors (see below), whose sum is σ = 297592999704. Its totient is φ = 33757436160.

The previous prime is 102960197831. The next prime is 102960197861. The reversal of 102960197856 is 658791069201.

102960197856 is a `hidden beast` number, since 1 + 0 + 29 + 601 + 9 + 7 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2912766 + ... + 2947901.

It is an arithmetic number, because the mean of its divisors is an integer number (4133236107).

Almost surely, 2102960197856 is an apocalyptic number.

102960197856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102960197856 is an abundant number, since it is smaller than the sum of its proper divisors (194632801848).

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

102960197856 is a wasteful number, since it uses less digits than its factorization.

102960197856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860744 (or 5860733 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 102960197856 in words is "one hundred two billion, nine hundred sixty million, one hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 5860667 11721334 17582001 23442668 35164002 46885336 52746003 70328004 93770672 105492006 140656008 187541344 210984012 281312016 357500687 421968024 562624032 715001374 843936048 1072502061 1430002748 1687872096 2145004122 2860005496 3217506183 4290008244 5720010992 6435012366 8580016488 11440021984 12870024732 17160032976 25740049464 34320065952 51480098928 102960197856