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12632563225632 = 253722685493883
BaseRepresentation
bin1011011111010011111101…
…1100011001010000100000
31122201122212001101102012110
42313310333130121100200
53123432442141210012
642511152555155320
72442446456505300
oct267647734312040
948648761342173
1012632563225632
114030492679819
121500337a45b40
1370832677a82c
143195c2899600
1516d90693173c
hexb7d3f719420

12632563225632 has 72 divisors (see below), whose sum is σ = 38574434149776. Its totient is φ = 3609303777408.

The previous prime is 12632563225631. The next prime is 12632563225657. The reversal of 12632563225632 is 23652236523621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12632563225631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1342742238 + ... + 1342751645.

It is an arithmetic number, because the mean of its divisors is an integer number (535756029858).

Almost surely, 212632563225632 is an apocalyptic number.

12632563225632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12632563225632 is an abundant number, since it is smaller than the sum of its proper divisors (25941870924144).

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

12632563225632 is a wasteful number, since it uses less digits than its factorization.

12632563225632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685493910 (or 2685493895 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

The spelling of 12632563225632 in words is "twelve trillion, six hundred thirty-two billion, five hundred sixty-three million, two hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 2685493883 5370987766 8056481649 10741975532 16112963298 18798457181 21483951064 32225926596 37596914362 42967902128 56395371543 64451853192 75193828724 85935804256 112790743086 128903706384 131589200267 150387657448 225581486172 257807412768 263178400534 300775314896 394767600801 451162972344 526356801068 601550629792 789535201602 902325944688 1052713602136 1579070403204 1804651889376 2105427204272 3158140806408 4210854408544 6316281612816 12632563225632