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56332350720 = 283452323623
BaseRepresentation
bin110100011101101010…
…110111010100000000
312101101220020220210000
4310131222313110000
51410332040210340
641513445440000
74032653036442
oct643552672400
9171356226700
1056332350720
1121988163958
12ab01710000
135409952509
142a25734492
1516ea77bd30
hexd1dab7500

56332350720 has 360 divisors, whose sum is σ = 210340158336. Its totient is φ = 14368223232.

The previous prime is 56332350707. The next prime is 56332350733. The reversal of 56332350720 is 2705323365.

56332350720 is a `hidden beast` number, since 563 + 3 + 23 + 5 + 0 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56332350707) and next prime (56332350733).

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

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2372829 + ... + 2396451.

Almost surely, 256332350720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56332350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105170079168).

56332350720 is an abundant number, since it is smaller than the sum of its proper divisors (154007807616).

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

56332350720 is a wasteful number, since it uses less digits than its factorization.

56332350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23679 (or 23656 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The spelling of 56332350720 in words is "fifty-six billion, three hundred thirty-two million, three hundred fifty thousand, seven hundred twenty".