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180104325768 = 23331729792271
BaseRepresentation
bin1010011110111100001…
…1011110101010001000
3122012212210001201022000
42213233003132222020
510422323201411033
6214423324431000
716004103336603
oct2475703365210
9565783051260
10180104325768
116a422218724
122aaa46a8460
1313ca3440c83
148a079d533a
154a41964a13
hex29ef0dea88

180104325768 has 384 divisors, whose sum is σ = 557057088000. Its totient is φ = 53665597440.

The previous prime is 180104325767. The next prime is 180104325781. The reversal of 180104325768 is 867523401081.

It is a Cunningham number, because it is equal to 4243872-1.

It is not an unprimeable number, because it can be changed into a prime (180104325767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 664591473 + ... + 664591743.

It is an arithmetic number, because the mean of its divisors is an integer number (1450669500).

Almost surely, 2180104325768 is an apocalyptic number.

180104325768 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 180104325768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278528544000).

180104325768 is an abundant number, since it is smaller than the sum of its proper divisors (376952762232).

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

180104325768 is a wasteful number, since it uses less digits than its factorization.

180104325768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 180104325768 in words is "one hundred eighty billion, one hundred four million, three hundred twenty-five thousand, seven hundred sixty-eight".