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52346433464325 = 335271113434014493
BaseRepresentation
bin10111110011011110110101…
…00100100110100000000101
320212100021021221200112022000
423321233122210212200011
523330120443431324300
6303155341453455513
714011622263660230
oct1371573244464005
9225307257615260
1052346433464325
1115751aa8027180
125a5510a7a1599
13232932a991610
14ccd81bdac417
1560b9b69dec00
hex2f9bda926805

52346433464325 has 768 divisors, whose sum is σ = 132474641080320. Its totient is φ = 19560683520000.

The previous prime is 52346433464321. The next prime is 52346433464371.

It is a happy number.

52346433464325 is a `hidden beast` number, since 5 + 234 + 6 + 4 + 3 + 346 + 43 + 25 = 666.

52346433464325 is nontrivially palindromic in base 10.

52346433464325 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 52346433464325 - 22 = 52346433464321 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52346433464321) by changing a digit.

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 767 ways as a sum of consecutive naturals, for example, 11650661779 + ... + 11650666271.

It is an arithmetic number, because the mean of its divisors is an integer number (172493022240).

Almost surely, 252346433464325 is an apocalyptic number.

52346433464325 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52346433464325 is an abundant number, since it is smaller than the sum of its proper divisors (80128207615995).

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

52346433464325 is a wasteful number, since it uses less digits than its factorization.

52346433464325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4987 (or 4976 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

It can be divided in two parts, 5234643 and 3464325, that added together give a palindrome (8698968).

The spelling of 52346433464325 in words is "fifty-two trillion, three hundred forty-six billion, four hundred thirty-three million, four hundred sixty-four thousand, three hundred twenty-five".