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132326164533456 = 24322161074252207
BaseRepresentation
bin11110000101100110010110…
…000010000001000011010000
3122100112020221220222011212200
4132011212112002001003100
5114321012441110032311
61145233444544523200
736605151500044635
oct3605462602010320
9570466856864780
10132326164533456
1139188236163583
1212a11844920500
1358ab3c45088ca
142496898a7418c
151047191c89556
hex7859960810d0

132326164533456 has 60 divisors (see below), whose sum is σ = 370331275084992. Its totient is φ = 44108507032128.

The previous prime is 132326164533383. The next prime is 132326164533463. The reversal of 132326164533456 is 654335461623231.

It is a happy number.

132326164533456 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 2 + 6 + 1 + 64 + 533 + 45 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28993305 + ... + 33245511.

Almost surely, 2132326164533456 is an apocalyptic number.

132326164533456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132326164533456 is an abundant number, since it is smaller than the sum of its proper divisors (238005110551536).

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

132326164533456 is a wasteful number, since it uses less digits than its factorization.

132326164533456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468328 (or 4468319 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 54.

The spelling of 132326164533456 in words is "one hundred thirty-two trillion, three hundred twenty-six billion, one hundred sixty-four million, five hundred thirty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 216107 432214 648321 864428 1296642 1728856 1944963 2593284 3457712 3889926 4252207 5186568 7779852 8504414 10373136 12756621 15559704 17008828 25513242 31119408 34017656 38269863 51026484 68035312 76539726 102052968 153079452 204105936 306158904 612317808 918931698149 1837863396298 2756795094447 3675726792596 5513590188894 7351453585192 8270385283341 11027180377788 14702907170384 16540770566682 22054360755576 33081541133364 44108721511152 66163082266728 132326164533456