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56408880465 = 335759691937
BaseRepresentation
bin110100100010001110…
…110011010101010001
312101121020021000212000
4310202032303111101
51411011133133330
641525222024213
74034602400310
oct644216632521
9171536230760
1056408880465
1121a17384883
12ab23278069
13541c7691a2
142a31976277
151702347560
hexd223b3551

56408880465 has 32 divisors (see below), whose sum is σ = 114608520960. Its totient is φ = 25786916352.

The previous prime is 56408880449. The next prime is 56408880499.

56408880465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56408880465 - 24 = 56408880449 is a prime.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 29845024 + ... + 29846913.

It is an arithmetic number, because the mean of its divisors is an integer number (3581516280).

Almost surely, 256408880465 is an apocalyptic number.

It is an amenable number.

56408880465 is an abundant number, since it is smaller than the sum of its proper divisors (58199640495).

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

56408880465 is a wasteful number, since it uses less digits than its factorization.

56408880465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59691958 (or 59691952 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 56408880465 in words is "fifty-six billion, four hundred eight million, eight hundred eighty thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 59691937 179075811 298459685 417843559 537227433 895379055 1253530677 1611682299 2089217795 2686137165 3760592031 6267653385 8058411495 11281776093 18802960155 56408880465