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5669314560 = 2133257133
BaseRepresentation
bin1010100011110101…
…01110000000000000
3112122002211000112100
411101322232000000
543102321031220
62334321030400
7260330243610
oct52172560000
915562730470
105669314560
11244a1a8a38
121122785400
136c4716000
143bad2ca40
15232ab6d90
hex151eae000

5669314560 has 672 divisors, whose sum is σ = 24330720960. Its totient is φ = 1196163072.

The previous prime is 5669314501. The next prime is 5669314577. The reversal of 5669314560 is 654139665.

5669314560 is a `hidden beast` number, since 56 + 6 + 9 + 31 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×56693145602 = 64282255160455987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436101114 + ... + 436101126.

It is an arithmetic number, because the mean of its divisors is an integer number (36206430).

Almost surely, 25669314560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5669314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12165360480).

5669314560 is an abundant number, since it is smaller than the sum of its proper divisors (18661406400).

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

5669314560 is an equidigital number, since it uses as much as digits as its factorization.

5669314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5669314560 is about 75294.8508199598. The cubic root of 5669314560 is about 1783.1047275212.

It can be divided in two parts, 56693 and 14560, that added together give a triangular number (71253 = T377).

The spelling of 5669314560 in words is "five billion, six hundred sixty-nine million, three hundred fourteen thousand, five hundred sixty".