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76194000168 = 2331113223411811
BaseRepresentation
bin100011011110110000…
…1000010110100101000
321021200002110020202020
41012331201002310220
52222021131001133
655000353504440
75335105213116
oct1067541026450
9237602406666
1076194000168
112a34a588080
1212925272120
137253779800
14398b4c4ab6
151eae2ba0b3
hex11bd842d28

76194000168 has 384 divisors, whose sum is σ = 240659112960. Its totient is φ = 19878144000.

The previous prime is 76194000149. The next prime is 76194000263. The reversal of 76194000168 is 86100049167.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42071983 + ... + 42073793.

It is an arithmetic number, because the mean of its divisors is an integer number (626716440).

Almost surely, 276194000168 is an apocalyptic number.

76194000168 is a gapful number since it is divisible by the number (78) 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 76194000168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120329556480).

76194000168 is an abundant number, since it is smaller than the sum of its proper divisors (164465112792).

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

76194000168 is a wasteful number, since it uses less digits than its factorization.

76194000168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 76194000168 in words is "seventy-six billion, one hundred ninety-four million, one hundred sixty-eight", and thus it is an aban number.