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1352431361104 = 24292914722761
BaseRepresentation
bin10011101011100011001…
…100001101110001010000
311210021212021012120021021
4103223203030031301100
5134124234412023404
62513144241405224
7166465336615435
oct23534314156120
94707767176237
101352431361104
1148162127788a
1219a13a639814
139a6c27b3475
144965ab7db8c
15252a6e88454
hex13ae330dc50

1352431361104 has 20 divisors (see below), whose sum is σ = 2710692168660. Its totient is φ = 652897898240.

The previous prime is 1352431361089. The next prime is 1352431361129. The reversal of 1352431361104 is 4011631342531.

It can be written as a sum of positive squares in 2 ways, for example, as 1150427856400 + 202003504704 = 1072580^2 + 449448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1352431361104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1457360917 + ... + 1457361844.

It is an arithmetic number, because the mean of its divisors is an integer number (135534608433).

Almost surely, 21352431361104 is an apocalyptic number.

It is an amenable number.

1352431361104 is an abundant number, since it is smaller than the sum of its proper divisors (1358260807556).

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

1352431361104 is a wasteful number, since it uses less digits than its factorization.

1352431361104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914722798 (or 2914722792 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 1352431361104 in words is "one trillion, three hundred fifty-two billion, four hundred thirty-one million, three hundred sixty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 464 2914722761 5829445522 11658891044 23317782088 46635564176 84526960069 169053920138 338107840276 676215680552 1352431361104