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11560104296 = 231338112
BaseRepresentation
bin10101100010000100…
…10011000101101000
31002211122101010212222
422301002103011220
5142133341314141
65151033053212
7556320156656
oct126102230550
932748333788
1011560104296
1149a2417504
1222a7557208
131122c95000
147b942ddd6
15479d2b14b
hex2b1093168

11560104296 has 48 divisors (see below), whose sum is σ = 23509628100. Its totient is φ = 5328853920.

The previous prime is 11560104293. The next prime is 11560104299. The reversal of 11560104296 is 69240106511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (11560104293) and next prime (11560104299).

It can be written as a sum of positive squares in 2 ways, for example, as 3601680196 + 7958424100 = 60014^2 + 89210^2 .

It is a super-2 number, since 2×115601042962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11560104293) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14253731 + ... + 14254541.

Almost surely, 211560104296 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 11560104296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11754814050).

11560104296 is an abundant number, since it is smaller than the sum of its proper divisors (11949523804).

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

11560104296 is an frugal number, since it uses more digits than its factorization.

11560104296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 11560104296 in words is "eleven billion, five hundred sixty million, one hundred four thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 811 1352 1622 2197 3244 4394 6488 8788 10543 17576 21086 42172 84344 137059 274118 548236 657721 1096472 1315442 1781767 2630884 3563534 5261768 7127068 8550373 14254136 17100746 34201492 68402984 111154849 222309698 444619396 889238792 1445013037 2890026074 5780052148 11560104296