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5656006565 = 5115310119211
BaseRepresentation
bin1010100010001111…
…11100111110100101
3112121011202220101122
411101013330332211
543040414202230
62333123503325
7260106156026
oct52107747645
915534686348
105656006565
1124427394a0
12111a227b45
136c1a36861
143b9266c4d
15231838be5
hex1511fcfa5

5656006565 has 32 divisors (see below), whose sum is σ = 7619018112. Its totient is φ = 3995680000.

The previous prime is 5656006553. The next prime is 5656006571.

5656006565 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5656006565 - 28 = 5656006309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284810 + ... + 304020.

It is an arithmetic number, because the mean of its divisors is an integer number (238094316).

Almost surely, 25656006565 is an apocalyptic number.

5656006565 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5656006565 is a deficient number, since it is larger than the sum of its proper divisors (1963011547).

5656006565 is a wasteful number, since it uses less digits than its factorization.

5656006565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19381.

The product of its (nonzero) digits is 810000, while the sum is 44.

The square root of 5656006565 is about 75206.4263544014. The cubic root of 5656006565 is about 1781.7084305400.

The spelling of 5656006565 in words is "five billion, six hundred fifty-six million, six thousand, five hundred sixty-five".

Divisors: 1 5 11 53 55 101 265 505 583 1111 2915 5353 5555 19211 26765 58883 96055 211321 294415 1018183 1056605 1940311 5090915 9701555 11200013 21343421 56000065 102836483 106717105 514182415 1131201313 5656006565