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5361261696 = 27347261173
BaseRepresentation
bin1001111111000111…
…00101110010000000
3111211122011022110000
410333203211302000
541434440333241
62243554240000
7246566654400
oct47743456200
914748138400
105361261696
11230132429a
121057586000
136759589cb
1438c060800
15215a16eb6
hex13f8e5c80

5361261696 has 480 divisors, whose sum is σ = 18973233180. Its totient is φ = 1497968640.

The previous prime is 5361261679. The next prime is 5361261701. The reversal of 5361261696 is 6961621635.

5361261696 is a `hidden beast` number, since 536 + 1 + 26 + 1 + 6 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5340686400 + 20575296 = 73080^2 + 4536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30989866 + ... + 30990038.

Almost surely, 25361261696 is an apocalyptic number.

5361261696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5361261696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9486616590).

5361261696 is an abundant number, since it is smaller than the sum of its proper divisors (13611971484).

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

5361261696 is a wasteful number, since it uses less digits than its factorization.

5361261696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 5361261696 is about 73220.6370909186. The cubic root of 5361261696 is about 1750.2053305739.

The spelling of 5361261696 in words is "five billion, three hundred sixty-one million, two hundred sixty-one thousand, six hundred ninety-six".