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107153976249 = 3331165777261
BaseRepresentation
bin110001111001011011…
…1111110101110111001
3101020120202002222202000
41203302313332232321
53223422404214444
6121120441331213
710512242525055
oct1436267765671
9336522088660
10107153976249
1141497698371
1218925796b09
13a1489a7398
14528721cc65
152bc231b469
hex18f2dfebb9

107153976249 has 32 divisors (see below), whose sum is σ = 163968506880. Its totient is φ = 69088982400.

The previous prime is 107153976239. The next prime is 107153976253. The reversal of 107153976249 is 942679351701.

107153976249 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 5 + 3 + 9 + 7 + 624 + 9 = 666.

It is not a de Polignac number, because 107153976249 - 24 = 107153976233 is a prime.

It is a super-2 number, since 2×1071539762492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107153976195 and 107153976204.

It is not an unprimeable number, because it can be changed into a prime (107153976239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348279 + ... + 1425539.

It is an arithmetic number, because the mean of its divisors is an integer number (5124015840).

Almost surely, 2107153976249 is an apocalyptic number.

It is an amenable number.

107153976249 is a deficient number, since it is larger than the sum of its proper divisors (56814530631).

107153976249 is a wasteful number, since it uses less digits than its factorization.

107153976249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78958 (or 78952 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 107153976249 in words is "one hundred seven billion, one hundred fifty-three million, nine hundred seventy-six thousand, two hundred forty-nine".

Divisors: 1 3 9 27 31 93 279 837 1657 4971 14913 44739 51367 77261 154101 231783 462303 695349 1386909 2086047 2395091 7185273 21555819 64667457 128021477 384064431 1152193293 3456579879 3968665787 11905997361 35717992083 107153976249