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106114471857 = 32193531757939
BaseRepresentation
bin110001011010011101…
…0100101011110110001
3101010220022002200210100
41202310322211132301
53214310301044412
6120425345223013
710444421062032
oct1426472453661
9333808080710
10106114471857
1141003942329
1218695631a69
13a011518124
1451c914aa89
152b60e34edc
hex18b4ea57b1

106114471857 has 24 divisors (see below), whose sum is σ = 161800797600. Its totient is φ = 66829771008.

The previous prime is 106114471807. The next prime is 106114471861. The reversal of 106114471857 is 758174411601.

106114471857 is a `hidden beast` number, since 10 + 6 + 11 + 447 + 185 + 7 = 666.

It is not a de Polignac number, because 106114471857 - 212 = 106114467761 is a prime.

It is a super-2 number, since 2×1061144718572 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106114471807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 818607 + ... + 939332.

It is an arithmetic number, because the mean of its divisors is an integer number (6741699900).

Almost surely, 2106114471857 is an apocalyptic number.

It is an amenable number.

106114471857 is a deficient number, since it is larger than the sum of its proper divisors (55686325743).

106114471857 is a wasteful number, since it uses less digits than its factorization.

106114471857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758317 (or 1758314 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 106114471857 in words is "one hundred six billion, one hundred fourteen million, four hundred seventy-one thousand, eight hundred fifty-seven".

Divisors: 1 3 9 19 57 171 353 1059 3177 6707 20121 60363 1757939 5273817 15821451 33400841 100202523 300607569 620552467 1861657401 5584972203 11790496873 35371490619 106114471857