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107146737738 = 2331984198847
BaseRepresentation
bin110001111001001110…
…0010111100001001010
3101020120020111020101000
41203302130113201022
53223414031101423
6121120022235430
710512124146405
oct1436234274112
9336506436330
10107146737738
11414935a3a27
1218923285b76
13a147341741
145286296d3c
152bc188b843
hex18f271784a

107146737738 has 16 divisors (see below), whose sum is σ = 238103861760. Its totient is φ = 35715579228.

The previous prime is 107146737727. The next prime is 107146737781. The reversal of 107146737738 is 837737641701.

107146737738 is a `hidden beast` number, since 10 + 71 + 467 + 3 + 77 + 38 = 666.

It is a super-2 number, since 2×1071467377382 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 1984198847 = 107146737738 / (1 + 0 + 7 + 1 + 4 + 6 + 7 + 3 + 7 + 7 + 3 + 8).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 992099370 + ... + 992099477.

It is an arithmetic number, because the mean of its divisors is an integer number (14881491360).

Almost surely, 2107146737738 is an apocalyptic number.

107146737738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

107146737738 is an abundant number, since it is smaller than the sum of its proper divisors (130957124022).

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

107146737738 is a wasteful number, since it uses less digits than its factorization.

107146737738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984198858 (or 1984198852 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 107146737738 in words is "one hundred seven billion, one hundred forty-six million, seven hundred thirty-seven thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 1984198847 3968397694 5952596541 11905193082 17857789623 35715579246 53573368869 107146737738