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5656120146 = 2321919385691
BaseRepresentation
bin1010100010010000…
…11000101101010010
3112121011222200012100
411101020120231102
543040431321041
62333130141230
7260110141125
oct52110305522
915534880170
105656120146
112442806866
12111a281816
136c1a76471
143b92963bc
1523185c6b6
hex151218b52

5656120146 has 48 divisors (see below), whose sum is σ = 12966913440. Its totient is φ = 1776867840.

The previous prime is 5656120139. The next prime is 5656120157. The reversal of 5656120146 is 6410216565.

5656120146 is a `hidden beast` number, since 56 + 561 + 2 + 0 + 1 + 46 = 666.

It is a super-2 number, since 2×56561201462 = 63983390211974122632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5656120146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23161 + ... + 108851.

It is an arithmetic number, because the mean of its divisors is an integer number (270144030).

Almost surely, 25656120146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5656120146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483456720).

5656120146 is an abundant number, since it is smaller than the sum of its proper divisors (7310793294).

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

5656120146 is a wasteful number, since it uses less digits than its factorization.

5656120146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85911 (or 85908 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5656120146 is about 75207.1814788987. The cubic root of 5656120146 is about 1781.7203569094.

The spelling of 5656120146 in words is "five billion, six hundred fifty-six million, one hundred twenty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 193 342 386 579 1158 1737 3474 3667 7334 11001 22002 33003 66006 85691 171382 257073 514146 771219 1542438 1628129 3256258 4884387 9768774 14653161 16538363 29306322 33076726 49615089 99230178 148845267 297690534 314228897 628457794 942686691 1885373382 2828060073 5656120146