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64141056 = 283274197
BaseRepresentation
bin1111010010101…
…1011100000000
311110200200222200
43310223130000
5112410003211
610210433200
71406122110
oct364533400
9143620880
1064141056
113322a141
1219592800
1310399ab5
148739040
15596eb56
hex3d2b700

64141056 has 216 divisors, whose sum is σ = 218740704. Its totient is φ = 17694720.

The previous prime is 64141037. The next prime is 64141057. The reversal of 64141056 is 65014146.

64141056 is a `hidden beast` number, since 641 + 4 + 10 + 5 + 6 = 666.

It is a super-2 number, since 2×641410562 = 8228150129590272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64141057) 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, 661200 + ... + 661296.

Almost surely, 264141056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109370352).

64141056 is an abundant number, since it is smaller than the sum of its proper divisors (154599648).

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

64141056 is a wasteful number, since it uses less digits than its factorization.

64141056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 64141056 is about 8008.8111477297. The cubic root of 64141056 is about 400.2936510366.

The spelling of 64141056 in words is "sixty-four million, one hundred forty-one thousand, fifty-six".