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13322995848 = 23326122232
BaseRepresentation
bin11000110100001110…
…01100100010001000
31021101111120022110200
430122013030202020
5204241141331343
610042010012200
7651104411331
oct143207144210
937344508420
1013322995848
115717535a78
1226b9a17060
1313442916c6
14905607288
1552e9a44d3
hex31a1cc888

13322995848 has 108 divisors (see below), whose sum is σ = 36849578805. Its totient is φ = 4348607040.

The previous prime is 13322995823. The next prime is 13322995913. The reversal of 13322995848 is 84859922331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13322995848 is a `hidden beast` number, since 1 + 3 + 32 + 29 + 9 + 584 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9024620004 + 4298375844 = 94998^2 + 65562^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=81618.

It is a junction number, because it is equal to n+sod(n) for n = 13322995794 and 13322995803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59744265 + ... + 59744487.

Almost surely, 213322995848 is an apocalyptic number.

13322995848 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 13322995848

13322995848 is an abundant number, since it is smaller than the sum of its proper divisors (23526582957).

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

13322995848 is an equidigital number, since it uses as much as digits as its factorization.

13322995848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 289 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 13322995848 in words is "thirteen billion, three hundred twenty-two million, nine hundred ninety-five thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 223 244 366 446 488 549 669 732 892 1098 1338 1464 1784 2007 2196 2676 3721 4014 4392 5352 7442 8028 11163 13603 14884 16056 22326 27206 29768 33489 40809 44652 49729 54412 66978 81618 89304 99458 108824 122427 133956 149187 163236 198916 244854 267912 298374 326472 397832 447561 489708 596748 829783 895122 979416 1193496 1659566 1790244 2489349 3033469 3319132 3580488 4978698 6066938 6638264 7468047 9100407 9957396 12133876 14936094 18200814 19914792 24267752 27301221 29872188 36401628 54602442 59744376 72803256 109204884 185041609 218409768 370083218 555124827 740166436 1110249654 1480332872 1665374481 2220499308 3330748962 4440998616 6661497924 13322995848