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104926445568 = 215327253137
BaseRepresentation
bin110000110111000011…
…0101000000000000000
3101000211111121201002200
41201232012220000000
53204342132224233
6120111425513200
710403114033400
oct1415606500000
9330744551080
10104926445568
114055427461a
12184037a2800
139b823569a9
145115456800
152ae19b2313
hex186e1a8000

104926445568 has 576 divisors, whose sum is σ = 361879813620. Its totient is φ = 29198647296.

The previous prime is 104926445563. The next prime is 104926445593. The reversal of 104926445568 is 865544629401.

It is a happy number.

104926445568 is a `hidden beast` number, since 1 + 0 + 49 + 2 + 6 + 44 + 556 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102318096384 + 2608349184 = 319872^2 + 51072^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1049264455682 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104926445563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 765886396 + ... + 765886532.

Almost surely, 2104926445568 is an apocalyptic number.

104926445568 is a gapful number since it is divisible by the number (18) 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 104926445568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180939906810).

104926445568 is an abundant number, since it is smaller than the sum of its proper divisors (256953368052).

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

104926445568 is an equidigital number, since it uses as much as digits as its factorization.

104926445568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 104926445568 in words is "one hundred four billion, nine hundred twenty-six million, four hundred forty-five thousand, five hundred sixty-eight".