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53910103829400 = 2334527213172331431
BaseRepresentation
bin11000100000111111011001…
…00101101010101110011000
321001212202101211100100010000
430100133230211222232120
524031230343040020100
6310353543152253000
714232606425532300
oct1420375445525630
9231782354310100
1053910103829400
11161a51681a6195
126068180841160
132410916080c50
14d45397756600
156374d394c900
hex3107ec96ab98

53910103829400 has 5760 divisors, whose sum is σ = 268138198056960. Its totient is φ = 9886593024000.

The previous prime is 53910103829359. The next prime is 53910103829447. The reversal of 53910103829400 is 492830101935.

It is a happy number.

53910103829400 is a `hidden beast` number, since 53 + 9 + 10 + 103 + 82 + 9 + 400 = 666.

53910103829400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 1439 ways as a sum of consecutive naturals, for example, 125081447185 + ... + 125081447615.

It is an arithmetic number, because the mean of its divisors is an integer number (46551770496).

Almost surely, 253910103829400 is an apocalyptic number.

53910103829400 is a gapful number since it is divisible by the number (50) 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 53910103829400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134069099028480).

53910103829400 is an abundant number, since it is smaller than the sum of its proper divisors (214228094227560).

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

53910103829400 is a wasteful number, since it uses less digits than its factorization.

53910103829400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 53910103829400 in words is "fifty-three trillion, nine hundred ten billion, one hundred three million, eight hundred twenty-nine thousand, four hundred".