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132768425148678 = 232113513431908527
BaseRepresentation
bin11110001100000010001110…
…110100011000000100000110
3122102002112111211100020110200
4132030002032310120010012
5114400234213314224203
61150212550020431330
736652126226204454
oct3614021664300406
9572075454306420
10132768425148678
1139338855804660
1212a834b0b48546
135911016361b37
1424b005173d9d4
15105392885b9a3
hex78c08ed18106

132768425148678 has 48 divisors (see below), whose sum is σ = 313817335243776. Its totient is φ = 40232720513520.

The previous prime is 132768425148647. The next prime is 132768425148701. The reversal of 132768425148678 is 876841524867231.

132768425148678 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 6 + 8 + 42 + 514 + 8 + 67 + 8 = 666.

It is a super-2 number, since 2×1327684251486782 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 68611651 + ... + 70520177.

It is an arithmetic number, because the mean of its divisors is an integer number (6537861150912).

Almost surely, 2132768425148678 is an apocalyptic number.

132768425148678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

132768425148678 is an abundant number, since it is smaller than the sum of its proper divisors (181048910095098).

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

132768425148678 is a wasteful number, since it uses less digits than its factorization.

132768425148678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259889 (or 2259886 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 72.

The spelling of 132768425148678 in words is "one hundred thirty-two trillion, seven hundred sixty-eight billion, four hundred twenty-five million, one hundred forty-eight thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 351343 702686 1054029 1908527 2108058 3162087 3817054 3864773 5725581 6324174 7729546 11451162 11594319 17176743 20993797 23188638 34353486 34782957 41987594 62981391 69565914 125962782 188944173 377888346 670547601761 1341095203522 2011642805283 4023285610566 6034928415849 7376023619371 12069856831698 14752047238742 22128070858113 44256141716226 66384212574339 132768425148678