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5610396960 = 25345761843
BaseRepresentation
bin1010011100110011…
…11101110100100000
3112110222221200210000
411032121331310200
542442230200320
62324414140000
7256013405310
oct51631756440
915428850700
105610396960
112419a17303
121106ab1600
136b545791c
143b3193440
1522c829c90
hex14e67dd20

5610396960 has 240 divisors, whose sum is σ = 22628966976. Its totient is φ = 1282355712.

The previous prime is 5610396959. The next prime is 5610396971. The reversal of 5610396960 is 696930165.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 39 ways as a sum of consecutive naturals, for example, 59799 + ... + 121641.

Almost surely, 25610396960 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 5610396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314483488).

5610396960 is an abundant number, since it is smaller than the sum of its proper divisors (17018570016).

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

5610396960 is a wasteful number, since it uses less digits than its factorization.

5610396960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61877 (or 61860 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 5610396960 is about 74902.5831330269. The cubic root of 5610396960 is about 1776.9063124383.

The spelling of 5610396960 in words is "five billion, six hundred ten million, three hundred ninety-six thousand, nine hundred sixty".