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630061895106 = 2327171919338009
BaseRepresentation
bin10010010101100101001…
…11011000110111000010
32020020022002121112222200
421022302213120313002
540310331321120411
61201240233014030
763343343513040
oct11126247306702
92206262545880
10630061895106
11223231572306
12a213a554316
1347550ab4017
14226d0a01390
15115c9120e56
hex92b29d8dc2

630061895106 has 192 divisors, whose sum is σ = 1739987308800. Its totient is φ = 160408055808.

The previous prime is 630061895101. The next prime is 630061895119. The reversal of 630061895106 is 601598160036.

630061895106 is a `hidden beast` number, since 630 + 0 + 6 + 1 + 8 + 9 + 5 + 1 + 0 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (630061895101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78665230 + ... + 78673238.

It is an arithmetic number, because the mean of its divisors is an integer number (9062433900).

Almost surely, 2630061895106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630061895106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869993654400).

630061895106 is an abundant number, since it is smaller than the sum of its proper divisors (1109925413694).

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

630061895106 is a wasteful number, since it uses less digits than its factorization.

630061895106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9993 (or 9990 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 630061895106 in words is "six hundred thirty billion, sixty-one million, eight hundred ninety-five thousand, one hundred six".