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120428061264 = 24327224117079
BaseRepresentation
bin111000000101000010…
…0100110001001010000
3102111211211122101011100
41300022010212021100
53433114040430024
6131153543144400
711462214426300
oct1601204461120
9374754571140
10120428061264
1147089556965
121b40b145100
13b482aa2364
145b86133600
1531ec85d7c9
hex1c0a126250

120428061264 has 180 divisors, whose sum is σ = 392274848160. Its totient is φ = 34388887680.

The previous prime is 120428061233. The next prime is 120428061283. The reversal of 120428061264 is 462160824021.

120428061264 is a `hidden beast` number, since 12 + 0 + 4 + 28 + 0 + 612 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17008477 + ... + 17015555.

It is an arithmetic number, because the mean of its divisors is an integer number (2179304712).

Almost surely, 2120428061264 is an apocalyptic number.

120428061264 is a gapful number since it is divisible by the number (14) 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 120428061264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196137424080).

120428061264 is an abundant number, since it is smaller than the sum of its proper divisors (271846786896).

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

120428061264 is a wasteful number, since it uses less digits than its factorization.

120428061264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9518 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 120428061264 its reverse (462160824021), we get a palindrome (582588885285).

The spelling of 120428061264 in words is "one hundred twenty billion, four hundred twenty-eight million, sixty-one thousand, two hundred sixty-four".