Search a number
-
+
56241899532 = 223372132573181
BaseRepresentation
bin110100011000010001…
…110100100000001100
312101011121001112002000
4310120101310200030
51410140411241112
641500455032300
74030504154400
oct643021644014
9171147045060
1056241899532
11219410a4605
12aa9736b690
1353c3ca30c0
142a1770b100
1516e28617dc
hexd1847480c

56241899532 has 288 divisors, whose sum is σ = 183434408640. Its totient is φ = 14770667520.

The previous prime is 56241899531. The next prime is 56241899569. The reversal of 56241899532 is 23599814265.

56241899532 is a `hidden beast` number, since 5 + 6 + 2 + 4 + 18 + 99 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56241899531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17678982 + ... + 17682162.

It is an arithmetic number, because the mean of its divisors is an integer number (636925030).

Almost surely, 256241899532 is an apocalyptic number.

56241899532 is a gapful number since it is divisible by the number (52) 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 56241899532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91717204320).

56241899532 is an abundant number, since it is smaller than the sum of its proper divisors (127192509108).

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

56241899532 is a wasteful number, since it uses less digits than its factorization.

56241899532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3463 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 56241899532 in words is "fifty-six billion, two hundred forty-one million, eight hundred ninety-nine thousand, five hundred thirty-two".