Search a number
-
+
64645576128 = 263272792367
BaseRepresentation
bin111100001101001011…
…010011010111000000
320011212021001112011100
4330031023103113000
52024343231414003
645410415014400
74445656221300
oct741513232700
9204767045140
1064645576128
1125463819181
121064180a400
1361330440c3
1431b3855600
151a354e9ba3
hexf0d2d35c0

64645576128 has 378 divisors, whose sum is σ = 218904927696. Its totient is φ = 18186674688.

The previous prime is 64645576091. The next prime is 64645576153. The reversal of 64645576128 is 82167554646.

64645576128 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 557 + 61 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 176145801 + ... + 176146167.

Almost surely, 264645576128 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 64645576128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109452463848).

64645576128 is an abundant number, since it is smaller than the sum of its proper divisors (154259351568).

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

64645576128 is a wasteful number, since it uses less digits than its factorization.

64645576128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 458 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 64645576128 in words is "sixty-four billion, six hundred forty-five million, five hundred seventy-six thousand, one hundred twenty-eight".