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74113042068 = 22341317595689
BaseRepresentation
bin100010100000101111…
…0110100011010010100
321002022001202121220000
41011001132310122110
52203240414321233
654014055411300
75232406314642
oct1050136643224
9232261677800
1074113042068
112948197549a
1212444383b30
136cb15c7c60
143830d94192
151ddb764d13
hex11417b4694

74113042068 has 60 divisors (see below), whose sum is σ = 208649692020. Its totient is φ = 22804011648.

The previous prime is 74113042063. The next prime is 74113042079. The reversal of 74113042068 is 86024031147.

74113042068 is a `hidden beast` number, since 7 + 41 + 130 + 420 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20704907664 + 53408134404 = 143892^2 + 231102^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74113042063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8793633 + ... + 8802056.

It is an arithmetic number, because the mean of its divisors is an integer number (3477494867).

Almost surely, 274113042068 is an apocalyptic number.

74113042068 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

74113042068 is an abundant number, since it is smaller than the sum of its proper divisors (134536649952).

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

74113042068 is a wasteful number, since it uses less digits than its factorization.

74113042068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17595718 (or 17595707 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 74113042068 in words is "seventy-four billion, one hundred thirteen million, forty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 17595689 35191378 52787067 70382756 105574134 158361201 211148268 228743957 316722402 457487914 475083603 633444804 686231871 914975828 950167206 1372463742 1425250809 1900334412 2058695613 2744927484 2850501618 4117391226 5701003236 6176086839 8234782452 12352173678 18528260517 24704347356 37056521034 74113042068