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67568557056 = 21037211134373
BaseRepresentation
bin111110111011011001…
…100101110000000000
320110101222011100012020
4332323121211300000
52101340022311211
651012432401440
74611261154500
oct767331456000
9213358140166
1067568557056
1126723763aa0
12111186a6280
1364aa7a0010
1433adb2da00
151b56e28306
hexfbb665c00

67568557056 has 1056 divisors, whose sum is σ = 255297385728. Its totient is φ = 15606743040.

The previous prime is 67568557039. The next prime is 67568557057. The reversal of 67568557056 is 65075586576.

67568557056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67568557057) 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, 925596636 + ... + 925596708.

It is an arithmetic number, because the mean of its divisors is an integer number (241758888).

Almost surely, 267568557056 is an apocalyptic number.

67568557056 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 67568557056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127648692864).

67568557056 is an abundant number, since it is smaller than the sum of its proper divisors (187728828672).

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

67568557056 is a wasteful number, since it uses less digits than its factorization.

67568557056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 52920000, while the sum is 60.

The spelling of 67568557056 in words is "sixty-seven billion, five hundred sixty-eight million, five hundred fifty-seven thousand, fifty-six".