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63285108480 = 283251117291013
BaseRepresentation
bin111010111100000101…
…100001111100000000
320001100110002121101200
4322330011201330000
52014101441432410
645023415301200
74400156355306
oct727405417400
9201313077350
1063285108480
1124925880750
121032207a800
135c77227369
1430c4cb4276
1519a5d633c0
hexebc161f00

63285108480 has 864 divisors, whose sum is σ = 261895757760. Its totient is φ = 13927710720.

The previous prime is 63285108431. The next prime is 63285108493. The reversal of 63285108480 is 8480158236.

63285108480 is a `hidden beast` number, since 63 + 2 + 8 + 5 + 108 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62472454 + ... + 62473466.

It is an arithmetic number, because the mean of its divisors is an integer number (303120090).

Almost surely, 263285108480 is an apocalyptic number.

63285108480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63285108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130947878880).

63285108480 is an abundant number, since it is smaller than the sum of its proper divisors (198610649280).

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

63285108480 is a wasteful number, since it uses less digits than its factorization.

63285108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 63285108480 in words is "sixty-three billion, two hundred eighty-five million, one hundred eight thousand, four hundred eighty".