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107481688336 = 2411274512
BaseRepresentation
bin110010000011001101…
…0000110100100010000
3101021102120202111012201
41210012122012210100
53230110303011321
6121213145332544
710523332163641
oct1440632064420
9337376674181
10107481688336
114164567a300
12189b7497154
13a19b858969
1452b89676c8
152be0ea1291
hex1906686910

107481688336 has 45 divisors (see below), whose sum is σ = 228928968919. Its totient is φ = 48848756000.

The previous prime is 107481688331. The next prime is 107481688339. The reversal of 107481688336 is 633886184701.

The square root of 107481688336 is 327844.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107481688331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14421411 + ... + 14428861.

Almost surely, 2107481688336 is an apocalyptic number.

107481688336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107481688336 is the 327844-th square number.

It is an amenable number.

107481688336 is an abundant number, since it is smaller than the sum of its proper divisors (121447280583).

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

107481688336 is an frugal number, since it uses more digits than its factorization.

107481688336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14932 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 107481688336 in words is "one hundred seven billion, four hundred eighty-one million, six hundred eighty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 7451 14902 29804 59608 81961 119216 163922 327844 655688 901571 1311376 1803142 3606284 7212568 14425136 55517401 111034802 222069604 444139208 610691411 888278416 1221382822 2442765644 4885531288 6717605521 9771062576 13435211042 26870422084 53740844168 107481688336