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13334697648 = 24321941118873
BaseRepresentation
bin11000110101100111…
…10101011010110000
31021102022120211022200
430122303311122300
5204302140311043
610043104503200
7651306026346
oct143263653260
937368524280
1013334697648
1157230a8788
12270191ab00
13134682aa4c
14906db1996
15530a167d3
hex31acf56b0

13334697648 has 120 divisors (see below), whose sum is σ = 40241226480. Its totient is φ = 4108216320.

The previous prime is 13334697589. The next prime is 13334697749. The reversal of 13334697648 is 84679643331.

It is a happy number.

13334697648 is a `hidden beast` number, since 133 + 3 + 469 + 7 + 6 + 48 = 666.

It is a super-2 number, since 2×133346976482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13334697594 and 13334697603.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52740 + ... + 171612.

It is an arithmetic number, because the mean of its divisors is an integer number (335343554).

Almost surely, 213334697648 is an apocalyptic number.

13334697648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13334697648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20120613240).

13334697648 is an abundant number, since it is smaller than the sum of its proper divisors (26906528832).

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

13334697648 is a wasteful number, since it uses less digits than its factorization.

13334697648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118947 (or 118938 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 13334697648 in words is "thirteen billion, three hundred thirty-four million, six hundred ninety-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 41 48 57 72 76 82 114 123 144 152 164 171 228 246 304 328 342 369 456 492 656 684 738 779 912 984 1368 1476 1558 1968 2337 2736 2952 3116 4674 5904 6232 7011 9348 12464 14022 18696 28044 37392 56088 112176 118873 237746 356619 475492 713238 950984 1069857 1426476 1901968 2139714 2258587 2852952 4279428 4517174 4873793 5705904 6775761 8558856 9034348 9747586 13551522 14621379 17117712 18068696 19495172 20327283 27103044 29242758 36137392 38990344 40654566 43864137 54206088 58485516 77980688 81309132 87728274 92602067 108412176 116971032 162618264 175456548 185204134 233942064 277806201 325236528 350913096 370408268 555612402 701826192 740816536 833418603 1111224804 1481633072 1666837206 2222449608 3333674412 4444899216 6667348824 13334697648