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63004364111664 = 2432172310111079241
BaseRepresentation
bin11100101001101010110001…
…01111011111111100110000
322021002011021110111122011200
432110311120233133330300
531224230414203033124
6341555445540011200
716161625606506243
oct1624653057377460
9267064243448150
1063004364111664
1119091001025538
127096802090b00
132920394587191
14117b5db08525a
15743d4c4e1bc9
hex394d58bdff30

63004364111664 has 240 divisors, whose sum is σ = 196742874953664. Its totient is φ = 18719483904000.

The previous prime is 63004364111653. The next prime is 63004364111683. The reversal of 63004364111664 is 46611146340036.

63004364111664 is a `hidden beast` number, since 6 + 3 + 0 + 0 + 436 + 41 + 116 + 64 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147084 + ... + 11226324.

Almost surely, 263004364111664 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 63004364111664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98371437476832).

63004364111664 is an abundant number, since it is smaller than the sum of its proper divisors (133738510842000).

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

63004364111664 is a wasteful number, since it uses less digits than its factorization.

63004364111664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11079396 (or 11079387 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 63004364111664 in words is "sixty-three trillion, four billion, three hundred sixty-four million, one hundred eleven thousand, six hundred sixty-four".