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56445654465 = 335929450071
BaseRepresentation
bin110100100100011011…
…000101010111000001
312101200210110100022000
4310210123011113001
51411100041420330
641533014134213
74035530101164
oct644433052701
9171623410260
1056445654465
1121a36111712
12ab33651369
135427273555
142a367c9adb
1517056ad560
hexd246c55c1

56445654465 has 32 divisors (see below), whose sum is σ = 100456070400. Its totient is φ = 30071877120.

The previous prime is 56445654451. The next prime is 56445654481.

56445654465 is a `hidden beast` number, since 5 + 6 + 44 + 56 + 544 + 6 + 5 = 666.

56445654465 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56445654465 - 213 = 56445646273 is a prime.

It is a super-2 number, since 2×564456544652 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99621 + ... + 350450.

It is an arithmetic number, because the mean of its divisors is an integer number (3139252200).

Almost surely, 256445654465 is an apocalyptic number.

It is an amenable number.

56445654465 is a deficient number, since it is larger than the sum of its proper divisors (44010415935).

56445654465 is a wasteful number, since it uses less digits than its factorization.

56445654465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451014 (or 451008 counting only the distinct ones).

The product of its digits is 34560000, while the sum is 54.

The spelling of 56445654465 in words is "fifty-six billion, four hundred forty-five million, six hundred fifty-four thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 929 2787 4645 8361 13935 25083 41805 125415 450071 1350213 2250355 4050639 6751065 12151917 20253195 60759585 418115959 1254347877 2090579795 3763043631 6271739385 11289130893 18815218155 56445654465