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64106568 = 23325915091
BaseRepresentation
bin1111010010001…
…1000001001000
311110121221200100
43310203001020
5112402402233
610210005400
71405616421
oct364430110
9143557610
1064106568
1133206239
1219576860
13103871a6
14872a648
155964813
hex3d23048

64106568 has 48 divisors (see below), whose sum is σ = 176576400. Its totient is φ = 21005280.

The previous prime is 64106561. The next prime is 64106569. The reversal of 64106568 is 86560146.

64106568 is a `hidden beast` number, since 641 + 0 + 6 + 5 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (64106561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3298 + ... + 11793.

It is an arithmetic number, because the mean of its divisors is an integer number (3678675).

Almost surely, 264106568 is an apocalyptic number.

It is an amenable number.

64106568 is an abundant number, since it is smaller than the sum of its proper divisors (112469832).

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

64106568 is a wasteful number, since it uses less digits than its factorization.

64106568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15162 (or 15155 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 64106568 is about 8006.6577296647. The cubic root of 64106568 is about 400.2218935520.

The spelling of 64106568 in words is "sixty-four million, one hundred six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 4248 15091 30182 45273 60364 90546 120728 135819 181092 271638 362184 543276 890369 1086552 1780738 2671107 3561476 5342214 7122952 8013321 10684428 16026642 21368856 32053284 64106568