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63660064 = 25131371117
BaseRepresentation
bin1111001011011…
…0000000100000
311102210021012011
43302312000200
5112244110224
610152242304
71402046566
oct362660040
9142707164
1063660064
1132a30826
12193a0394
131025bba0
148651a36
1558c7394
hex3cb6020

63660064 has 48 divisors (see below), whose sum is σ = 136078488. Its totient is φ = 29140992.

The previous prime is 63660061. The next prime is 63660073. The reversal of 63660064 is 46006636.

It can be written as a sum of positive squares in 4 ways, for example, as 28944400 + 34715664 = 5380^2 + 5892^2 .

It is not an unprimeable number, because it can be changed into a prime (63660061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56434 + ... + 57550.

Almost surely, 263660064 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 63660064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68039244).

63660064 is an abundant number, since it is smaller than the sum of its proper divisors (72418424).

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

63660064 is a wasteful number, since it uses less digits than its factorization.

63660064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 63660064 is about 7978.7257127940. The cubic root of 63660064 is about 399.2905424188.

The spelling of 63660064 in words is "sixty-three million, six hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 208 274 416 548 1096 1117 1781 2192 2234 3562 4384 4468 7124 8936 14248 14521 17872 28496 29042 35744 56992 58084 116168 153029 232336 306058 464672 612116 1224232 1989377 2448464 3978754 4896928 7957508 15915016 31830032 63660064