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68556128256 = 215327113019
BaseRepresentation
bin111111110110010000…
…111000000000000000
320112221210110011012100
4333312100320000000
52110400332101011
651254431430400
74644612322020
oct776620700000
9215853404170
1068556128256
1127090168940
1211353385400
136607277c85
143464d63a80
151bb39a1d56
hexff6438000

68556128256 has 384 divisors, whose sum is σ = 246998793600. Its totient is φ = 17800888320.

The previous prime is 68556128237. The next prime is 68556128257. The reversal of 68556128256 is 65282165586.

It is a happy number.

68556128256 is a `hidden beast` number, since 6 + 8 + 5 + 561 + 28 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68556128257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22706715 + ... + 22709733.

It is an arithmetic number, because the mean of its divisors is an integer number (643226025).

Almost surely, 268556128256 is an apocalyptic number.

68556128256 is a gapful number since it is divisible by the number (66) 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 68556128256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123499396800).

68556128256 is an abundant number, since it is smaller than the sum of its proper divisors (178442665344).

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

68556128256 is a wasteful number, since it uses less digits than its factorization.

68556128256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3042 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 68556128256 in words is "sixty-eight billion, five hundred fifty-six million, one hundred twenty-eight thousand, two hundred fifty-six".