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56509000471 = 7113759336181
BaseRepresentation
bin110100101000001100…
…101110101100010111
312101212012122122200101
4310220030232230113
51411212301003341
641543155554531
74040226402340
oct645014565427
9171765578611
1056509000471
1121a68948490
12ab508bba47
1354374224b1
142a40d990c7
15170b022831
hexd2832eb17

56509000471 has 32 divisors (see below), whose sum is σ = 73583516160. Its totient is φ = 42116630400.

The previous prime is 56509000391. The next prime is 56509000489. The reversal of 56509000471 is 17400090565.

56509000471 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

56509000471 is a nontrivial binomial coefficient, being equal to C(336182, 2).

It is a cyclic number.

It is not a de Polignac number, because 56509000471 - 223 = 56500611863 is a prime.

It is a super-3 number, since 3×565090004713 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 56509000471.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56509000571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1 + ... + 336181.

It is an arithmetic number, because the mean of its divisors is an integer number (2299484880).

Almost surely, 256509000471 is an apocalyptic number.

56509000471 is the 336181-st triangular number and also the 168091-st hexagonal number.

56509000471 is the 112061-st centered nonagonal number.

56509000471 is a deficient number, since it is larger than the sum of its proper divisors (17074515689).

56509000471 is a wasteful number, since it uses less digits than its factorization.

56509000471 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336295.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 56509000471 in words is "fifty-six billion, five hundred nine million, four hundred seventy-one", and thus it is an aban number.

Divisors: 1 7 11 37 59 77 259 407 413 649 2183 2849 4543 15281 24013 168091 336181 2353267 3697991 12438697 19834679 25885937 87070879 136825667 138842753 218181469 733883123 957779669 1527270283 5137181861 8072714353 56509000471