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13412271762 = 23103372
BaseRepresentation
bin11000111110110111…
…10000011010010010
31021121201120000000000
430133123300122102
5204432020144022
610054515310430
7653240300061
oct143733603222
937551500000
1013412271762
11576297231a
1227238ab416
13135991bba6
149134061d8
1553773b6ac
hex31f6f0692

13412271762 has 66 divisors (see below), whose sum is σ = 30267254133. Its totient is φ = 4457490912.

The previous prime is 13412271757. The next prime is 13412271767. The reversal of 13412271762 is 26717221431.

It is an interprime number because it is at equal distance from previous prime (13412271757) and next prime (13412271767).

It can be written as a sum of positive squares in 2 ways, for example, as 12658275081 + 753996681 = 112509^2 + 27459^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=81891.

It is not an unprimeable number, because it can be changed into a prime (13412271767) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 39798858 + ... + 39799194.

Almost surely, 213412271762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13412271762

13412271762 is an abundant number, since it is smaller than the sum of its proper divisors (16854982371).

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

13412271762 is an frugal number, since it uses more digits than its factorization.

13412271762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 342 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The spelling of 13412271762 in words is "thirteen billion, four hundred twelve million, two hundred seventy-one thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 337 486 674 729 1011 1458 2022 2187 3033 4374 6066 6561 9099 13122 18198 19683 27297 39366 54594 59049 81891 113569 118098 163782 227138 245673 340707 491346 681414 737019 1022121 1474038 2044242 2211057 3066363 4422114 6132726 6633171 9199089 13266342 18398178 19899513 27597267 39799026 55194534 82791801 165583602 248375403 496750806 745126209 1490252418 2235378627 4470757254 6706135881 13412271762