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56356045323600 = 243521143891115599
BaseRepresentation
bin11001101000001011010100…
…00011111111110101010000
321101112120210200210021101010
430310011222003333311100
524341314140100323400
6315505335415210520
714604406224305601
oct1464055203776520
9241476720707333
1056356045323600
1116a585124279a0
1263a2219676a40
13255a476c28b39
14dcb90bab5da8
1567ae3b738450
hex33416a0ffd50

56356045323600 has 480 divisors, whose sum is σ = 203783171328000. Its totient is φ = 13194400665600.

The previous prime is 56356045323577. The next prime is 56356045323629. The reversal of 56356045323600 is 632354065365.

It is a happy number.

56356045323600 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56356045323600.

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 95 ways as a sum of consecutive naturals, for example, 49958601 + ... + 51074199.

It is an arithmetic number, because the mean of its divisors is an integer number (424548273600).

Almost surely, 256356045323600 is an apocalyptic number.

56356045323600 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 56356045323600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101891585664000).

56356045323600 is an abundant number, since it is smaller than the sum of its proper divisors (147427126004400).

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

56356045323600 is a wasteful number, since it uses less digits than its factorization.

56356045323600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115763 (or 1115752 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 48.

Adding to 56356045323600 its reverse (632354065365), we get a palindrome (56988399388965).

The spelling of 56356045323600 in words is "fifty-six trillion, three hundred fifty-six billion, forty-five million, three hundred twenty-three thousand, six hundred".