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104820524718 = 237213192116841
BaseRepresentation
bin110000110011111001…
…0100100011010101110
3101000120010022101000020
41201213302210122232
53204133023242333
6120053123343010
710400356521300
oct1414762443256
9330503271006
10104820524718
11404aa4a9728
1218394221a66
139b6641c230
145105363970
152ad753d3b3
hex1867ca46ae

104820524718 has 192 divisors, whose sum is σ = 277800526080. Its totient is φ = 26062041600.

The previous prime is 104820524713. The next prime is 104820524773. The reversal of 104820524718 is 817425028401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 104820524718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104820524713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15318978 + ... + 15325818.

It is an arithmetic number, because the mean of its divisors is an integer number (1446877740).

Almost surely, 2104820524718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104820524718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138900263040).

104820524718 is an abundant number, since it is smaller than the sum of its proper divisors (172980001362).

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

104820524718 is a wasteful number, since it uses less digits than its factorization.

104820524718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103 (or 7096 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 104820524718 in words is "one hundred four billion, eight hundred twenty million, five hundred twenty-four thousand, seven hundred eighteen".