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106147418697 = 3211794157633
BaseRepresentation
bin110001011011011100…
…0010001001001001001
3101010222121002120100200
41202312320101021021
53214342214344242
6120432523322413
710445301112665
oct1426670211111
9333877076320
10106147418697
11410204a5821
12186a4680409
13a0182b24b8
1451cd6858a5
152b63c9204c
hex18b6e11249

106147418697 has 6 divisors (see below), whose sum is σ = 153324049242. Its totient is φ = 70764945792.

The previous prime is 106147418659. The next prime is 106147418737. The reversal of 106147418697 is 796814741601.

106147418697 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 474 + 1 + 86 + 97 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104542935561 + 1604483136 = 323331^2 + 40056^2 .

It is not a de Polignac number, because 106147418697 - 26 = 106147418633 is a prime.

It is a super-2 number, since 2×1061474186972 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106147417697) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5897078808 + ... + 5897078825.

It is an arithmetic number, because the mean of its divisors is an integer number (25554008207).

Almost surely, 2106147418697 is an apocalyptic number.

It is an amenable number.

106147418697 is a deficient number, since it is larger than the sum of its proper divisors (47176630545).

106147418697 is a wasteful number, since it uses less digits than its factorization.

106147418697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11794157639 (or 11794157636 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 106147418697 in words is "one hundred six billion, one hundred forty-seven million, four hundred eighteen thousand, six hundred ninety-seven".

Divisors: 1 3 9 11794157633 35382472899 106147418697