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10166617144 = 237317408591
BaseRepresentation
bin10010111011111101…
…00100010000111000
3222020112021122212201
421131332210100320
5131310123222034
64400453515544
7506636551135
oct113576442070
928215248781
1010166617144
114347876a32
121b78942bb4
13c60386ab8
146c633558c
153e7821014
hex25dfa4438

10166617144 has 16 divisors (see below), whose sum is σ = 19323537120. Its totient is φ = 5013673920.

The previous prime is 10166617127. The next prime is 10166617171. The reversal of 10166617144 is 44171666101.

It is a happy number.

10166617144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8703712 + ... + 8704879.

It is an arithmetic number, because the mean of its divisors is an integer number (1207721070).

Almost surely, 210166617144 is an apocalyptic number.

It is an amenable number.

10166617144 is a deficient number, since it is larger than the sum of its proper divisors (9156919976).

10166617144 is a wasteful number, since it uses less digits than its factorization.

10166617144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17408670 (or 17408666 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 10166617144 in words is "ten billion, one hundred sixty-six million, six hundred seventeen thousand, one hundred forty-four".

Divisors: 1 2 4 8 73 146 292 584 17408591 34817182 69634364 139268728 1270827143 2541654286 5083308572 10166617144