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132447352608 = 2533732099939
BaseRepresentation
bin111101101011001111…
…0100011011100100000
3110122212111001122021000
41323112132203130200
54132223010240413
6140502342232000
712366111631104
oct1732636433440
9418774048230
10132447352608
115119709439a
1221804425600
13c649c2c87c
1465a6533904
1536a2b40073
hex1ed67a3720

132447352608 has 96 divisors (see below), whose sum is σ = 391596811200. Its totient is φ = 43544314368.

The previous prime is 132447352607. The next prime is 132447352649. The reversal of 132447352608 is 806253744231.

132447352608 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 4 + 7 + 35 + 2 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (132447352607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986898 + ... + 1113041.

It is an arithmetic number, because the mean of its divisors is an integer number (4079133450).

Almost surely, 2132447352608 is an apocalyptic number.

132447352608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132447352608 is an abundant number, since it is smaller than the sum of its proper divisors (259149458592).

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

132447352608 is a wasteful number, since it uses less digits than its factorization.

132447352608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100031 (or 2100017 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 132447352608 in words is "one hundred thirty-two billion, four hundred forty-seven million, three hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 864 876 1168 1314 1752 1971 2336 2628 3504 3942 5256 7008 7884 10512 15768 21024 31536 63072 2099939 4199878 6299817 8399756 12599634 16799512 18899451 25199268 33599024 37798902 50398536 56698353 67198048 75597804 100797072 113396706 151195608 153295547 201594144 226793412 302391216 306591094 453586824 459886641 604782432 613182188 907173648 919773282 1226364376 1379659923 1814347296 1839546564 2452728752 2759319846 3679093128 4138979769 4905457504 5518639692 7358186256 8277959538 11037279384 14716372512 16555919076 22074558768 33111838152 44149117536 66223676304 132447352608