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14379699168 = 2532192627869
BaseRepresentation
bin11010110010001100…
…01100101111100000
31101010010221101220200
431121012030233200
5213422200333133
610334514505200
71016225266122
oct153106145740
941103841820
1014379699168
116109a688aa
122953895200
131482193143
149a5ab5212
15592636913
hex35918cbe0

14379699168 has 72 divisors (see below), whose sum is σ = 43044510600. Its totient is φ = 4540955904.

The previous prime is 14379699167. The next prime is 14379699193. The reversal of 14379699168 is 86199697341.

14379699168 is a `hidden beast` number, since 14 + 379 + 6 + 99 + 168 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14379699167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1308463 + ... + 1319406.

It is an arithmetic number, because the mean of its divisors is an integer number (597840425).

Almost surely, 214379699168 is an apocalyptic number.

14379699168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14379699168 is an abundant number, since it is smaller than the sum of its proper divisors (28664811432).

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

14379699168 is a wasteful number, since it uses less digits than its factorization.

14379699168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627904 (or 2627893 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 14379699168 in words is "fourteen billion, three hundred seventy-nine million, six hundred ninety-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 2627869 5255738 7883607 10511476 15767214 21022952 23650821 31534428 42045904 47301642 49929511 63068856 84091808 94603284 99859022 126137712 149788533 189206568 199718044 252275424 299577066 378413136 399436088 449365599 599154132 756826272 798872176 898731198 1198308264 1597744352 1797462396 2396616528 3594924792 4793233056 7189849584 14379699168