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102393940416 = 2633117203283
BaseRepresentation
bin101111101011100100…
…1111000100111000000
3100210022000021010010120
41133113021320213000
53134200322043131
6115012241300240
710253263063425
oct1372711704700
9323260233116
10102393940416
113a474789a59
1217a17634680
13986a786231
144d54d83d4c
1529e44b5496
hex17d72789c0

102393940416 has 56 divisors (see below), whose sum is σ = 279656584704. Its totient is φ = 33030301440.

The previous prime is 102393940387. The next prime is 102393940483. The reversal of 102393940416 is 614049393201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8595690 + ... + 8607593.

It is an arithmetic number, because the mean of its divisors is an integer number (4993867584).

Almost surely, 2102393940416 is an apocalyptic number.

102393940416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102393940416 is an abundant number, since it is smaller than the sum of its proper divisors (177262644288).

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

102393940416 is a wasteful number, since it uses less digits than its factorization.

102393940416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17203329 (or 17203319 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 102393940416 in words is "one hundred two billion, three hundred ninety-three million, nine hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 17203283 34406566 51609849 68813132 103219698 137626264 206439396 275252528 412878792 533301773 550505056 825757584 1066603546 1101010112 1599905319 1651515168 2133207092 3199810638 3303030336 4266414184 6399621276 8532828368 12799242552 17065656736 25598485104 34131313472 51196970208 102393940416