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10166611716 = 2232282405881
BaseRepresentation
bin10010111011111101…
…00010111100000100
3222020112021101102200
421131332202330010
5131310123033331
64400453434500
7506636526252
oct113576427404
928215241380
1010166611716
114347872948
121b7893ba30
13c603844a1
146c63335d2
153e781e5e6
hex25dfa2f04

10166611716 has 18 divisors (see below), whose sum is σ = 25698935262. Its totient is φ = 3388870560.

The previous prime is 10166611687. The next prime is 10166611717. The reversal of 10166611716 is 61711666101.

It can be written as a sum of positive squares in only one way, i.e., 8472466116 + 1694145600 = 92046^2 + 41160^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 282405881 = 10166611716 / (1 + 0 + 1 + 6 + 6 + 6 + 1 + 1 + 7 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (10166611717) 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, 141202905 + ... + 141202976.

Almost surely, 210166611716 is an apocalyptic number.

It is an amenable number.

10166611716 is an abundant number, since it is smaller than the sum of its proper divisors (15532323546).

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

10166611716 is a wasteful number, since it uses less digits than its factorization.

10166611716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282405891 (or 282405886 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 10166611716 in words is "ten billion, one hundred sixty-six million, six hundred eleven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 282405881 564811762 847217643 1129623524 1694435286 2541652929 3388870572 5083305858 10166611716