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63399580103664 = 243371923157431709
BaseRepresentation
bin11100110101001010111010…
…11100110111001111110000
322022110221101202010012221000
432122211131130313033300
531302214320001304124
6342501210502202000
716232316461144130
oct1632453534671760
9268427352105830
1063399580103664
111922367a165912
12713b31b123300
13294b729a2cc4c
1411927adb2cac0
1574e27ddeb6c9
hex39a95d7373f0

63399580103664 has 1280 divisors, whose sum is σ = 230755516416000. Its totient is φ = 16249321820160.

The previous prime is 63399580103659. The next prime is 63399580103753. The reversal of 63399580103664 is 46630108599336.

63399580103664 is a `hidden beast` number, since 6 + 3 + 3 + 9 + 9 + 580 + 10 + 36 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 89421128142 + ... + 89421128850.

It is an arithmetic number, because the mean of its divisors is an integer number (180277747200).

Almost surely, 263399580103664 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 63399580103664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115377758208000).

63399580103664 is an abundant number, since it is smaller than the sum of its proper divisors (167355936312336).

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

63399580103664 is a wasteful number, since it uses less digits than its factorization.

63399580103664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 63399580103664 in words is "sixty-three trillion, three hundred ninety-nine billion, five hundred eighty million, one hundred three thousand, six hundred sixty-four".