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52353004424400 = 243252431392433077
BaseRepresentation
bin10111110011101011000100…
…01110110100110011010000
320212100220020220002212221200
423321311202032310303100
523330222423113040100
6303202345504151200
714012244153135231
oct1371654216646320
9225326226085850
1052353004424400
111575486a180799
125a56443308500
132329b37128c84
14ccdc82965088
1560bc4d80ae00
hex2f9d623b4cd0

52353004424400 has 360 divisors, whose sum is σ = 187242091676640. Its totient is φ = 13538024156160.

The previous prime is 52353004424353. The next prime is 52353004424449. The reversal of 52353004424400 is 442440035325.

52353004424400 is a `hidden beast` number, since 5 + 23 + 530 + 0 + 44 + 24 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×523530044244002 (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20300662 + ... + 22733738.

It is an arithmetic number, because the mean of its divisors is an integer number (520116921324).

Almost surely, 252353004424400 is an apocalyptic number.

52353004424400 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 52353004424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93621045838320).

52353004424400 is an abundant number, since it is smaller than the sum of its proper divisors (134889087252240).

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

52353004424400 is a wasteful number, since it uses less digits than its factorization.

52353004424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2433283 (or 2433269 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 52353004424400 its reverse (442440035325), we get a palindrome (52795444459725).

The spelling of 52353004424400 in words is "fifty-two trillion, three hundred fifty-three billion, four million, four hundred twenty-four thousand, four hundred".