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107244156768 = 25373153137709
BaseRepresentation
bin110001111100000111…
…1111111011101100000
3101020211000210122011020
41203320033333131200
53224114001004033
6121133422245440
710514416202040
oct1437017773540
9336730718136
10107244156768
1141533592321
121894ba26880
13a161590538
1452951b5720
152bca1d16b3
hex18f83ff760

107244156768 has 384 divisors, whose sum is σ = 341327831040. Its totient is φ = 28840181760.

The previous prime is 107244156763. The next prime is 107244156769. The reversal of 107244156768 is 867651442701.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 107244156768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107244156763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151260798 + ... + 151261506.

It is an arithmetic number, because the mean of its divisors is an integer number (888874560).

Almost surely, 2107244156768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107244156768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170663915520).

107244156768 is an abundant number, since it is smaller than the sum of its proper divisors (234083674272).

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

107244156768 is a wasteful number, since it uses less digits than its factorization.

107244156768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 107244156768 in words is "one hundred seven billion, two hundred forty-four million, one hundred fifty-six thousand, seven hundred sixty-eight".