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12632053413645 = 335192601485827
BaseRepresentation
bin1011011111010010000100…
…0011100111011100001101
31122201121112112002021122000
42313310201003213130031
53123430421133214040
642511030224142513
72442431026254051
oct267644103473415
948647475067560
1012632053413645
1140302509204a6
121500215167a39
13708274c6b633
14319574cabc61
1516d8c6ccb130
hexb7d210e770d

12632053413645 has 32 divisors (see below), whose sum is σ = 22457146669440. Its totient is φ = 6737046307200.

The previous prime is 12632053413611. The next prime is 12632053413761. The reversal of 12632053413645 is 54631435023621.

12632053413645 is a `hidden beast` number, since 1 + 2 + 63 + 2 + 0 + 534 + 13 + 6 + 45 = 666.

It is not a de Polignac number, because 12632053413645 - 213 = 12632053405453 is a prime.

It is a super-3 number, since 3×126320534136453 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12632053413645.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25758222 + ... + 26244048.

It is an arithmetic number, because the mean of its divisors is an integer number (701785833420).

Almost surely, 212632053413645 is an apocalyptic number.

12632053413645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12632053413645 is a deficient number, since it is larger than the sum of its proper divisors (9825093255795).

12632053413645 is a wasteful number, since it uses less digits than its factorization.

12632053413645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678442 (or 678436 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 12632053413645 in words is "twelve trillion, six hundred thirty-two billion, fifty-three million, four hundred thirteen thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 192601 485827 577803 963005 1457481 1733409 2429135 2889015 4372443 5200227 7287405 8667045 13117329 21862215 26001135 65586645 93570766027 280712298081 467853830135 842136894243 1403561490405 2526410682729 4210684471215 12632053413645