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104840118866556 = 223331414720298009
BaseRepresentation
bin10111110101100111111110…
…000010110001001001111100
3111202012121200010212112222000
4113311213332002301021330
5102220200030412212211
61010550515151422300
731040306610532053
oct2765477602611174
9452177603775860
10104840118866556
1130450498a187a7
12b912873824990
1346664c478b628
141bc640878739a
15c1c1eabd3656
hex5f59fe0b127c

104840118866556 has 384 divisors, whose sum is σ = 293715652608000. Its totient is φ = 32272573132800.

The previous prime is 104840118866521. The next prime is 104840118866557. The reversal of 104840118866556 is 655668811048401.

104840118866556 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 4 + 0 + 1 + 18 + 8 + 66 + 556 = 666.

It is a super-2 number, since 2×1048401188665562 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 104840118866493 and 104840118866502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104840118866557) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13090284280 + ... + 13090292288.

It is an arithmetic number, because the mean of its divisors is an integer number (764884512000).

Almost surely, 2104840118866556 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 104840118866556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146857826304000).

104840118866556 is an abundant number, since it is smaller than the sum of its proper divisors (188875533741444).

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

104840118866556 is a wasteful number, since it uses less digits than its factorization.

104840118866556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10170 (or 10162 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 104840118866556 in words is "one hundred four trillion, eight hundred forty billion, one hundred eighteen million, eight hundred sixty-six thousand, five hundred fifty-six".