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630404875716 = 22371117416531499
BaseRepresentation
bin10010010110001110000…
…11110000010111000100
32020021011222222202221020
421023013003300113010
540312032122010331
61201334244151140
763355010013360
oct11130703602704
92207158882836
10630404875716
11223398132760
12a22153984b0
13475a6b80225
14227243a22a0
15115e92bec96
hex92c70f05c4

630404875716 has 384 divisors, whose sum is σ = 1993517568000. Its totient is φ = 150020505600.

The previous prime is 630404875693. The next prime is 630404875721. The reversal of 630404875716 is 617578404036.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 420549535 + ... + 420551033.

It is an arithmetic number, because the mean of its divisors is an integer number (5191452000).

Almost surely, 2630404875716 is an apocalyptic number.

630404875716 is a gapful number since it is divisible by the number (66) 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 630404875716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996758784000).

630404875716 is an abundant number, since it is smaller than the sum of its proper divisors (1363112692284).

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

630404875716 is a wasteful number, since it uses less digits than its factorization.

630404875716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 630404875716 in words is "six hundred thirty billion, four hundred four million, eight hundred seventy-five thousand, seven hundred sixteen".