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63020516832 = 2534713397673
BaseRepresentation
bin111010101100010100…
…001100010111100000
320000200000012221220000
4322230110030113200
52013031223014312
644541244220000
74360464361140
oct725424142740
9200600187800
1063020516832
11247aa491069
121026953a600
135c34476160
14309baba920
15198c9eaadc
hexeac50c5e0

63020516832 has 480 divisors, whose sum is σ = 229027119552. Its totient is φ = 16554295296.

The previous prime is 63020516809. The next prime is 63020516849. The reversal of 63020516832 is 23861502036.

It is a happy number.

63020516832 is a `hidden beast` number, since 63 + 0 + 2 + 0 + 516 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 93640848 + ... + 93641520.

Almost surely, 263020516832 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 63020516832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114513559776).

63020516832 is an abundant number, since it is smaller than the sum of its proper divisors (166006602720).

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

63020516832 is a wasteful number, since it uses less digits than its factorization.

63020516832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 63020516832 in words is "sixty-three billion, twenty million, five hundred sixteen thousand, eight hundred thirty-two".