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56022085350 = 233527111493617
BaseRepresentation
bin110100001011001011…
…010010111011100110
312100121021102210201000
4310023023102323212
51404213123212400
641423003414130
74022164603620
oct641313227346
9170537383630
1056022085350
11218390089a0
12aa35824346
13538a59c13a
1429d644bc10
1516cd3e1600
hexd0b2d2ee6

56022085350 has 384 divisors, whose sum is σ = 193809024000. Its totient is φ = 11559628800.

The previous prime is 56022085331. The next prime is 56022085351. The reversal of 56022085350 is 5358022065.

It is a happy number.

56022085350 is a `hidden beast` number, since 5 + 6 + 0 + 220 + 85 + 350 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56022085351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15486742 + ... + 15490358.

It is an arithmetic number, because the mean of its divisors is an integer number (504711000).

Almost surely, 256022085350 is an apocalyptic number.

56022085350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56022085350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96904512000).

56022085350 is an abundant number, since it is smaller than the sum of its proper divisors (137786938650).

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

56022085350 is a wasteful number, since it uses less digits than its factorization.

56022085350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 56022085350 in words is "fifty-six billion, twenty-two million, eighty-five thousand, three hundred fifty".