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645415634656 = 25132177020271
BaseRepresentation
bin10010110010001011100…
…01010000011011100000
32021200221010101100010001
421121011301100123200
541033302400302111
61212255544545344
764426000243102
oct11310561203340
92250833340101
10645415634656
112297a0333061
12a5104482254
1348b299c5400
1423349bc7572
1511bc700c1c1
hex9645c506e0

645415634656 has 72 divisors (see below), whose sum is σ = 1456860885984. Its totient is φ = 280361502720.

The previous prime is 645415634623. The next prime is 645415634657. The reversal of 645415634656 is 656436514546.

It is a super-2 number, since 2×6454156346562 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 645415634597 and 645415634606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645415634657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3418200 + ... + 3602071.

It is an arithmetic number, because the mean of its divisors is an integer number (20234178972).

Almost surely, 2645415634656 is an apocalyptic number.

It is an amenable number.

645415634656 is an abundant number, since it is smaller than the sum of its proper divisors (811445251328).

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

645415634656 is a wasteful number, since it uses less digits than its factorization.

645415634656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020324 (or 7020303 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 55.

The spelling of 645415634656 in words is "six hundred forty-five billion, four hundred fifteen million, six hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 169 208 221 272 338 416 442 544 676 884 1352 1768 2704 2873 3536 5408 5746 7072 11492 22984 45968 91936 7020271 14040542 28081084 56162168 91263523 112324336 119344607 182527046 224648672 238689214 365054092 477378428 730108184 954756856 1186425799 1460216368 1551479891 1909513712 2372851598 2920432736 3102959782 3819027424 4745703196 6205919564 9491406392 12411839128 18982812784 20169238583 24823678256 37965625568 40338477166 49647356512 80676954332 161353908664 322707817328 645415634656