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630974346912 = 25347213401953
BaseRepresentation
bin10010010111010010000…
…00000111011010100000
32020022122200112220120000
421023221000013122200
540314213413100122
61201510550020000
763405063312300
oct11135100073240
92208580486500
10630974346912
1122365a629908
12a2354047600
1347667b4a230
1422779c7d600
151162e2ac0ac
hex92e90076a0

630974346912 has 720 divisors, whose sum is σ = 2332938224232. Its totient is φ = 165821644800.

The previous prime is 630974346887. The next prime is 630974346913. The reversal of 630974346912 is 219643479036.

It is a happy number.

630974346912 is a `hidden beast` number, since 6 + 30 + 97 + 434 + 6 + 91 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 580333145616 + 50641201296 = 761796^2 + 225036^2 .

It is a super-2 number, since 2×6309743469122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (630974346913) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 662092228 + ... + 662093180.

Almost surely, 2630974346912 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 630974346912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166469112116).

630974346912 is an abundant number, since it is smaller than the sum of its proper divisors (1701963877320).

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

630974346912 is a wasteful number, since it uses less digits than its factorization.

630974346912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 630974346912 in words is "six hundred thirty billion, nine hundred seventy-four million, three hundred forty-six thousand, nine hundred twelve".