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107066642398165 = 5787118312299789
BaseRepresentation
bin11000010110000001100101…
…001011111111101111010101
3112001002110201101201002201001
4120112001211023333233111
5103013134440423220130
61015413423030103301
731360211131351462
oct3026014513775725
9461073641632631
10107066642398165
113112978745963a
1210012295aaab31
1347984583b9368
141c620a5b6c669
15c5a0b094e6ca
hex6160652ffbd5

107066642398165 has 16 divisors (see below), whose sum is σ = 128654153043840. Its totient is φ = 85537210973760.

The previous prime is 107066642398123. The next prime is 107066642398181. The reversal of 107066642398165 is 561893246660701.

It is a de Polignac number, because none of the positive numbers 2k-107066642398165 is a prime.

It is a super-2 number, since 2×1070666423981652 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107066642398097 and 107066642398106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45405091 + ... + 47704879.

It is an arithmetic number, because the mean of its divisors is an integer number (8040884565240).

It is a 1-persistent number, because it is pandigital, but 2⋅107066642398165 = 214133284796330 is not.

Almost surely, 2107066642398165 is an apocalyptic number.

It is an amenable number.

107066642398165 is a deficient number, since it is larger than the sum of its proper divisors (21587510645675).

107066642398165 is a wasteful number, since it uses less digits than its factorization.

107066642398165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312412.

The product of its (nonzero) digits is 78382080, while the sum is 64.

The spelling of 107066642398165 in words is "one hundred seven trillion, sixty-six billion, six hundred forty-two million, three hundred ninety-eight thousand, one hundred sixty-five".

Divisors: 1 5 787 3935 11831 59155 2299789 9310997 11498945 46554985 1809933943 9049669715 27208803659 136044018295 21413328479633 107066642398165