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107157754506 = 231113194113171
BaseRepresentation
bin110001111001100011…
…0011001001010001010
3101020121000012221112110
41203303012121022022
53223424341121011
6121121054323150
710512316612305
oct1436306311212
9336530187473
10107157754506
1141499838aa0
1218926ab94b6
13a1496cb03a
145287923b3c
152bc2815ba6
hex18f319928a

107157754506 has 64 divisors (see below), whose sum is σ = 235851720192. Its totient is φ = 32187480000.

The previous prime is 107157754427. The next prime is 107157754511. The reversal of 107157754506 is 605457751701.

It is a super-2 number, since 2×1071577545062 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8129301 + ... + 8142471.

It is an arithmetic number, because the mean of its divisors is an integer number (3685183128).

Almost surely, 2107157754506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107157754506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117925860096).

107157754506 is an abundant number, since it is smaller than the sum of its proper divisors (128693965686).

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

107157754506 is a wasteful number, since it uses less digits than its factorization.

107157754506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14259.

The product of its (nonzero) digits is 1029000, while the sum is 48.

The spelling of 107157754506 in words is "one hundred seven billion, one hundred fifty-seven million, seven hundred fifty-four thousand, five hundred six".

Divisors: 1 2 3 6 11 22 33 66 131 262 393 786 941 1441 1882 2823 2882 4323 5646 8646 10351 13171 20702 26342 31053 39513 62106 79026 123271 144881 246542 289762 369813 434643 739626 869286 1355981 1725401 2711962 3450802 4067943 5176203 8135886 10352406 12393911 18979411 24787822 37181733 37958822 56938233 74363466 113876466 136333021 272666042 408999063 817998126 1623602341 3247204682 4870807023 9741614046 17859625751 35719251502 53578877253 107157754506