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56431013465 = 5197172133289
BaseRepresentation
bin110100100011100011…
…001110111001011001
312101122202220111121202
4310203203032321121
51411032314412330
641531332243545
74035261462101
oct644343167131
9171582814552
1056431013465
1121a28921712
12ab2a7705b5
135424218438
142a34898201
15170426a445
hexd238cee59

56431013465 has 16 divisors (see below), whose sum is σ = 68102551440. Its totient is φ = 44888202240.

The previous prime is 56431013461. The next prime is 56431013473.

56431013465 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 286658761 + 56144354704 = 16931^2 + 236948^2 .

It is not a de Polignac number, because 56431013465 - 22 = 56431013461 is a prime.

It is a super-2 number, since 2×564310134652 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56431013461) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1678541 + ... + 1711829.

It is an arithmetic number, because the mean of its divisors is an integer number (4256409465).

Almost surely, 256431013465 is an apocalyptic number.

It is an amenable number.

56431013465 is a deficient number, since it is larger than the sum of its proper divisors (11671537975).

56431013465 is a wasteful number, since it uses less digits than its factorization.

56431013465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35212.

The product of its (nonzero) digits is 129600, while the sum is 38.

It can be divided in two parts, 564310 and 13465, that added together give a palindrome (577775).

The spelling of 56431013465 in words is "fifty-six billion, four hundred thirty-one million, thirteen thousand, four hundred sixty-five".

Divisors: 1 5 197 985 1721 8605 33289 166445 339037 1695185 6557933 32789665 57290369 286451845 11286202693 56431013465