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120861796608 = 2832743612857
BaseRepresentation
bin111000010001111101…
…1001010100100000000
3102112222001210102012100
41300203323022210000
53440011104442413
6131304555430400
711506032214650
oct1604373124400
9375861712170
10120861796608
1147291373723
121b510455400
13b5218c5ba7
145bc799a360
153225987a73
hex1c23eca900

120861796608 has 432 divisors, whose sum is σ = 414343785856. Its totient is φ = 33164328960.

The previous prime is 120861796543. The next prime is 120861796639. The reversal of 120861796608 is 806697168021.

120861796608 is a `hidden beast` number, since 1 + 20 + 8 + 6 + 1 + 7 + 9 + 6 + 608 = 666.

120861796608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42302316 + ... + 42305172.

Almost surely, 2120861796608 is an apocalyptic number.

120861796608 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 120861796608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207171892928).

120861796608 is an abundant number, since it is smaller than the sum of its proper divisors (293481989248).

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

120861796608 is a wasteful number, since it uses less digits than its factorization.

120861796608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 120861796608 in words is "one hundred twenty billion, eight hundred sixty-one million, seven hundred ninety-six thousand, six hundred eight".