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5160341056 = 261326923057
BaseRepresentation
bin1001100111001010…
…01000111001000000
3111022122002111010211
410303211020321000
541032021403211
62212020003504
7241610114053
oct46345107100
914278074124
105160341056
112208972682
121000230594
1364313b660
1436d4bca9a
15203079e21
hex133948e40

5160341056 has 56 divisors (see below), whose sum is σ = 11069223480. Its totient is φ = 2372739072.

The previous prime is 5160341027. The next prime is 5160341063. The reversal of 5160341056 is 6501430615.

It can be written as a sum of positive squares in 4 ways, for example, as 249134656 + 4911206400 = 15784^2 + 70080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212280 + ... + 235336.

It is an arithmetic number, because the mean of its divisors is an integer number (197664705).

Almost surely, 25160341056 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 5160341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534611740).

5160341056 is an abundant number, since it is smaller than the sum of its proper divisors (5908882424).

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

5160341056 is a wasteful number, since it uses less digits than its factorization.

5160341056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23351 (or 23341 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 5160341056 is about 71835.5138911110. The cubic root of 5160341056 is about 1728.0625906112.

The spelling of 5160341056 in words is "five billion, one hundred sixty million, three hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 269 416 538 832 1076 2152 3497 4304 6994 8608 13988 17216 23057 27976 46114 55952 92228 111904 184456 223808 299741 368912 599482 737824 1198964 1475648 2397928 4795856 6202333 9591712 12404666 19183424 24809332 49618664 80630329 99237328 161260658 198474656 322521316 396949312 645042632 1290085264 2580170528 5160341056