Search a number
-
+
56093256343152 = 243274773157103307
BaseRepresentation
bin11001100000100001110101…
…00111100101111001110000
321100121110111110221220012100
430300100322213211321300
524323012442110440102
6315144515231300400
714546414116652550
oct1460207247457160
9240543443856170
1056093256343152
111696701a948416
12635b2ba07a700
13253b7574101c2
14dbccdc989160
156741aaca1a1c
hex33043a9e5e70

56093256343152 has 480 divisors, whose sum is σ = 186921402550272. Its totient is φ = 15372091478016.

The previous prime is 56093256343133. The next prime is 56093256343171. The reversal of 56093256343152 is 25134365239065.

It is a happy number.

56093256343152 is a `hidden beast` number, since 5 + 6 + 0 + 9 + 32 + 563 + 43 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (56093256343133) and next prime (56093256343171).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 542924683 + ... + 543027989.

Almost surely, 256093256343152 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 56093256343152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93460701275136).

56093256343152 is an abundant number, since it is smaller than the sum of its proper divisors (130828146207120).

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

56093256343152 is a wasteful number, since it uses less digits than its factorization.

56093256343152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103605 (or 103596 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 54.

The spelling of 56093256343152 in words is "fifty-six trillion, ninety-three billion, two hundred fifty-six million, three hundred forty-three thousand, one hundred fifty-two".