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132446065360256 = 278315597996591
BaseRepresentation
bin11110000111010110000000…
…101011010111110110000000
3122100221201110000112021022122
4132013112000223113312000
5114324444020213012011
61145404514335423412
736616624653210434
oct3607260053276600
9570851400467278
10132446065360256
113922407404137a
1212a30b27384b68
1358b97c1cab8bb
14249c5d0b629c4
15104a35d1a03db
hex787580ad7d80

132446065360256 has 64 divisors (see below), whose sum is σ = 267207720998400. Its totient is φ = 65383190530560.

The previous prime is 132446065360241. The next prime is 132446065360289. The reversal of 132446065360256 is 652063560644231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 132446065360198 and 132446065360207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12564521 + ... + 20561111.

It is an arithmetic number, because the mean of its divisors is an integer number (4175120640600).

Almost surely, 2132446065360256 is an apocalyptic number.

132446065360256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132446065360256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133603860499200).

132446065360256 is an abundant number, since it is smaller than the sum of its proper divisors (134761655638144).

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

132446065360256 is an equidigital number, since it uses as much as digits as its factorization.

132446065360256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998247 (or 7998235 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 53.

The spelling of 132446065360256 in words is "one hundred thirty-two trillion, four hundred forty-six billion, sixty-five million, three hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1328 1559 2656 3118 5312 6236 10624 12472 24944 49888 99776 129397 199552 258794 517588 1035176 2070352 4140704 7996591 8281408 15993182 16562816 31986364 63972728 127945456 255890912 511781824 663717053 1023563648 1327434106 2654868212 5309736424 10619472848 12466685369 21238945696 24933370738 42477891392 49866741476 84955782784 99733482952 199466965904 398933931808 797867863616 1034734885627 1595735727232 2069469771254 4138939542508 8277879085016 16555758170032 33111516340064 66223032680128 132446065360256