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104196077568 = 2113411229179
BaseRepresentation
bin110000100001010010…
…0011111100000000000
3100221221121022011120000
41201002210133200000
53201343143440233
6115511135320000
710346035021542
oct1410244374000
9327847264500
10104196077568
1140209a73300
121823b080000
139a96c43c8b
145086455692
152a9c7e1d13
hex184291f800

104196077568 has 720 divisors, whose sum is σ = 355864509000. Its totient is φ = 30315479040.

The previous prime is 104196077563. The next prime is 104196077581. The reversal of 104196077568 is 865770691401.

104196077568 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 9 + 6 + 0 + 77 + 568 = 666.

104196077568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104196077563) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 582100903 + ... + 582101081.

Almost surely, 2104196077568 is an apocalyptic number.

104196077568 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 104196077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177932254500).

104196077568 is an abundant number, since it is smaller than the sum of its proper divisors (251668431432).

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

104196077568 is a wasteful number, since it uses less digits than its factorization.

104196077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 104196077568 in words is "one hundred four billion, one hundred ninety-six million, seventy-seven thousand, five hundred sixty-eight".