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10807146162 = 23210722292
BaseRepresentation
bin10100001000010011…
…11111011010110010
31000220011112220111200
422010021333122302
5134113112134122
64544214352030
7531545140521
oct120411773262
930804486450
1010807146162
11464639695a
12211735b616
131032ca2c57
1474742c4b8
15433b975ac
hex28427f6b2

10807146162 has 54 divisors (see below), whose sum is σ = 23740031133. Its totient is φ = 3553131024.

The previous prime is 10807146157. The next prime is 10807146179. The reversal of 10807146162 is 26164170801.

It is a happy number.

10807146162 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8136220401 + 2670925761 = 90201^2 + 51681^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=73509.

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 26 ways as a sum of consecutive naturals, for example, 47192664 + ... + 47192892.

Almost surely, 210807146162 is an apocalyptic number.

10807146162 is an abundant number, since it is smaller than the sum of its proper divisors (12932884971).

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

10807146162 is an equidigital number, since it uses as much as digits as its factorization.

10807146162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10807146162 in words is "ten billion, eight hundred seven million, one hundred forty-six thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 107 214 229 321 458 642 687 963 1374 1926 2061 4122 11449 22898 24503 34347 49006 52441 68694 73509 103041 104882 147018 157323 206082 220527 314646 441054 471969 943938 2621821 5243642 5611187 7865463 11222374 15730926 16833561 23596389 33667122 47192778 50500683 101001366 600397009 1200794018 1801191027 3602382054 5403573081 10807146162