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630206325144 = 2332111734599509
BaseRepresentation
bin10010010101110110011…
…10010110000110011000
32020020200011101100202100
421022323032112012120
540311130304401034
61201302432403400
763350046243624
oct11127316260630
92206604340670
10630206325144
112232a604a780
12a217a9a6560
13475749b2896
1422705c7a184
15115d6b50099
hex92bb396198

630206325144 has 96 divisors (see below), whose sum is σ = 1872736491600. Its totient is φ = 189867690240.

The previous prime is 630206325109. The next prime is 630206325149. The reversal of 630206325144 is 441523602036.

630206325144 is a `hidden beast` number, since 6 + 3 + 0 + 2 + 0 + 632 + 5 + 14 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 630206325099 and 630206325108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630206325149) 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 23 ways as a sum of consecutive naturals, for example, 2162739 + ... + 2436770.

Almost surely, 2630206325144 is an apocalyptic number.

It is an amenable number.

630206325144 is an abundant number, since it is smaller than the sum of its proper divisors (1242530166456).

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

630206325144 is a wasteful number, since it uses less digits than its factorization.

630206325144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599705 (or 4599698 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 630206325144 in words is "six hundred thirty billion, two hundred six million, three hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 173 198 264 346 396 519 692 792 1038 1384 1557 1903 2076 3114 3806 4152 5709 6228 7612 11418 12456 15224 17127 22836 34254 45672 68508 137016 4599509 9199018 13798527 18398036 27597054 36796072 41395581 50594599 55194108 82791162 101189198 110388216 151783797 165582324 202378396 303567594 331164648 404756792 455351391 607135188 795715057 910702782 1214270376 1591430114 1821405564 2387145171 3182860228 3642811128 4774290342 6365720456 7161435513 8752865627 9548580684 14322871026 17505731254 19097161368 26258596881 28645742052 35011462508 52517193762 57291484104 70022925016 78775790643 105034387524 157551581286 210068775048 315103162572 630206325144