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10518143364 = 2232170932
BaseRepresentation
bin10011100101110111…
…00010000110000100
31000011000202001012100
421302323202012010
5133020121041424
64455412152100
7521435513001
oct116273420604
930130661170
1010518143364
114508243873
122056608630
13cb8155891
1471acbc8a8
1541860bdc9
hex272ee2184

10518143364 has 27 divisors (see below), whose sum is σ = 26589084613. Its totient is φ = 3505842672.

The previous prime is 10518143263. The next prime is 10518143393. The reversal of 10518143364 is 46334181501.

The square root of 10518143364 is 102558.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5783602500 + 4734540864 = 76050^2 + 68808^2 .

It is a super-2 number, since 2×105181433642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 606802 + ... + 623894.

Almost surely, 210518143364 is an apocalyptic number.

10518143364 is the 102558-th square number.

It is an amenable number.

10518143364 is an abundant number, since it is smaller than the sum of its proper divisors (16070941249).

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

10518143364 is an frugal number, since it uses more digits than its factorization.

10518143364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34196 (or 17098 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 10518143364 by its sum of digits (36), we get a square (378653161104 = 6153482).

10518143364 divided by its sum of digits (36) gives a square (292170649 = 170932).

The spelling of 10518143364 in words is "ten billion, five hundred eighteen million, one hundred forty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 17093 34186 51279 68372 102558 153837 205116 307674 615348 292170649 584341298 876511947 1168682596 1753023894 2629535841 3506047788 5259071682 10518143364