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630540812357 = 172911318162533
BaseRepresentation
bin10010010110011110010…
…10010100000001000101
32020021112110210001221122
421023033022110001011
540312321421443412
61201355541523325
763361250321201
oct11131712240105
92207473701848
10630540812357
11223457939995
12a2252a13545
13475c9096c01
1422738469b01
15116061c2572
hex92cf294045

630540812357 has 32 divisors (see below), whose sum is σ = 700625933280. Its totient is φ = 564769013760.

The previous prime is 630540812351. The next prime is 630540812399. The reversal of 630540812357 is 753218045036.

It is a Cunningham number, because it is equal to 7940662+1.

It can be written as a sum of positive squares in 16 ways, for example, as 299899712161 + 330641100196 = 547631^2 + 575014^2 .

It is a cyclic number.

It is not a de Polignac number, because 630540812357 - 232 = 626245845061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630540812351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10052063 + ... + 10114595.

It is an arithmetic number, because the mean of its divisors is an integer number (21894560415).

Almost surely, 2630540812357 is an apocalyptic number.

It is an amenable number.

630540812357 is a deficient number, since it is larger than the sum of its proper divisors (70085120923).

630540812357 is a wasteful number, since it uses less digits than its factorization.

630540812357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62873.

The product of its (nonzero) digits is 604800, while the sum is 44.

It can be divided in two parts, 630540 and 812357, that added together give a cube (1442897 = 1133).

The spelling of 630540812357 in words is "six hundred thirty billion, five hundred forty million, eight hundred twelve thousand, three hundred fifty-seven".

Divisors: 1 17 29 113 181 493 1921 3077 3277 5249 20453 55709 62533 89233 347701 593137 1063061 1813457 7066229 10083329 11318473 30828769 120125893 192414041 204920641 328235717 1278987449 3483650897 5580007189 21742786633 37090636021 630540812357