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53053714022400 = 2143352721317443
BaseRepresentation
bin11000001000000100001111…
…10001110100000000000000
320221211212220112211121011000
430010002013301310000000
523423213001242204100
6304500312330452000
714114001330346500
oct1404020761640000
9227755815747130
1053053714022400
11159a4a54504913
125b4a1b9594000
13237ac365b5b90
14d15b561c1a00
156200aed2e900
hex304087c74000

53053714022400 has 4320 divisors, whose sum is σ = 259129425905280. Its totient is φ = 10511513026560.

The previous prime is 53053714022389. The next prime is 53053714022431. The reversal of 53053714022400 is 422041735035.

53053714022400 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 3 + 7 + 1 + 402 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 119760076579 + ... + 119760077021.

It is an arithmetic number, because the mean of its divisors is an integer number (59983663404).

Almost surely, 253053714022400 is an apocalyptic number.

53053714022400 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 53053714022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129564712952640).

53053714022400 is an abundant number, since it is smaller than the sum of its proper divisors (206075711882880).

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

53053714022400 is a wasteful number, since it uses less digits than its factorization.

53053714022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 53053714022400 its reverse (422041735035), we get a palindrome (53475755757435).

The spelling of 53053714022400 in words is "fifty-three trillion, fifty-three billion, seven hundred fourteen million, twenty-two thousand, four hundred".