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645414341256 = 233223338472481
BaseRepresentation
bin10010110010001011011…
…00010100101010001000
32021200221000221121220100
421121011230110222020
541033302032410011
61212255501125400
764425653245206
oct11310554245210
92250830847810
10645414341256
1122979a62a333
12a5103b59860
1348b29661799
142334996c076
1511bc6d53d56
hex9645b14a88

645414341256 has 48 divisors (see below), whose sum is σ = 1755499353660. Its totient is φ = 214214768640.

The previous prime is 645414341251. The next prime is 645414341267. The reversal of 645414341256 is 652143414546.

645414341256 is a `hidden beast` number, since 6 + 4 + 54 + 1 + 4 + 341 + 256 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 642225932100 + 3188409156 = 801390^2 + 56466^2 .

It is not an unprimeable number, because it can be changed into a prime (645414341251) 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, 19219465 + ... + 19253016.

Almost surely, 2645414341256 is an apocalyptic number.

It is an amenable number.

645414341256 is an abundant number, since it is smaller than the sum of its proper divisors (1110085012404).

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

645414341256 is a wasteful number, since it uses less digits than its factorization.

645414341256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38472726 (or 38472719 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 645414341256 in words is "six hundred forty-five billion, four hundred fourteen million, three hundred forty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 233 466 699 932 1398 1864 2097 2796 4194 5592 8388 16776 38472481 76944962 115417443 153889924 230834886 307779848 346252329 461669772 692504658 923339544 1385009316 2770018632 8964088073 17928176146 26892264219 35856352292 53784528438 71712704584 80676792657 107569056876 161353585314 215138113752 322707170628 645414341256