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1353643422560 = 2551113173480161
BaseRepresentation
bin10011101100101011011…
…011110111001101100000
311210101222201220200000022
4103230223123313031200
5134134230204010220
62513504420213012
7166540355150342
oct23545333671540
94711881820008
101353643422560
11482093471570
1219a41853a168
139a85693b8b0
1449733b2d292
15253285a7925
hex13b2b6f7360

1353643422560 has 192 divisors, whose sum is σ = 3978075737664. Its totient is φ = 427642060800.

The previous prime is 1353643422541. The next prime is 1353643422587. The reversal of 1353643422560 is 652243463531.

It is a happy number.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 1351121 + ... + 2129040.

It is an arithmetic number, because the mean of its divisors is an integer number (20719144467).

Almost surely, 21353643422560 is an apocalyptic number.

1353643422560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353643422560 is an abundant number, since it is smaller than the sum of its proper divisors (2624432315104).

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

1353643422560 is a wasteful number, since it uses less digits than its factorization.

1353643422560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480217 (or 3480209 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 44.

The spelling of 1353643422560 in words is "one trillion, three hundred fifty-three billion, six hundred forty-three million, four hundred twenty-two thousand, five hundred sixty".