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132252010455456 = 25323929116876653
BaseRepresentation
bin11110000100100001010010…
…000110101010000110100000
3122100021011112222222201021100
4132010201102012222012200
5114313304104134033311
61145135422421354400
736566615051555463
oct3604412206520640
9570234488881240
10132252010455456
11391598431101a1
12129bb3aa868a00
1358a4407573748
14249306247b2da
1510452a1b1aa56
hex7848521aa1a0

132252010455456 has 72 divisors (see below), whose sum is σ = 376187379930180. Its totient is φ = 44072782949376.

The previous prime is 132252010455449. The next prime is 132252010455493. The reversal of 132252010455456 is 654554010252231.

132252010455456 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 52 + 0 + 10 + 45 + 545 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99993200115600 + 32258810339856 = 9999660^2 + 5679684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 57306775 + ... + 59569878.

Almost surely, 2132252010455456 is an apocalyptic number.

132252010455456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132252010455456 is an abundant number, since it is smaller than the sum of its proper divisors (243935369474724).

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

132252010455456 is a wasteful number, since it uses less digits than its factorization.

132252010455456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116880598 (or 116880587 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 132252010455456 in words is "one hundred thirty-two trillion, two hundred fifty-two billion, ten million, four hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3929 7858 11787 15716 23574 31432 35361 47148 62864 70722 94296 125728 141444 188592 282888 377184 565776 1131552 116876653 233753306 350629959 467506612 701259918 935013224 1051889877 1402519836 1870026448 2103779754 2805039672 3740052896 4207559508 5610079344 8415119016 11220158688 16830238032 33660476064 459208369637 918416739274 1377625108911 1836833478548 2755250217822 3673666957096 4132875326733 5510500435644 7347333914192 8265750653466 11021000871288 14694667828384 16531501306932 22042001742576 33063002613864 44084003485152 66126005227728 132252010455456