Search a number
-
+
60256139328 = 26337111721567
BaseRepresentation
bin111000000111100010…
…111011100001000000
312202112100120000212000
4320013202323201000
51441401032424303
643403054104000
74232126506410
oct700742734100
9182470500760
1060256139328
1123611024360
12b8177ab000
1358b383c118
142cb88ca640
151879e9ada3
hexe078bb840

60256139328 has 672 divisors, whose sum is σ = 234757447680. Its totient is φ = 14720901120.

The previous prime is 60256139261. The next prime is 60256139351. The reversal of 60256139328 is 82393165206.

60256139328 is a `hidden beast` number, since 6 + 0 + 2 + 5 + 613 + 9 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 38452401 + ... + 38453967.

It is an arithmetic number, because the mean of its divisors is an integer number (349341440).

Almost surely, 260256139328 is an apocalyptic number.

60256139328 is a gapful number since it is divisible by the number (68) 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 60256139328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117378723840).

60256139328 is an abundant number, since it is smaller than the sum of its proper divisors (174501308352).

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

60256139328 is a wasteful number, since it uses less digits than its factorization.

60256139328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 60256139328 in words is "sixty billion, two hundred fifty-six million, one hundred thirty-nine thousand, three hundred twenty-eight".