Search a number
-
+
56861354340 = 2232571913118131
BaseRepresentation
bin110100111101001100…
…110110100101100100
312102202202200002022200
4310331030312211210
51412423001314330
642042144054500
74052035352160
oct647514664544
9172682602280
1056861354340
112212983012a
12b02a904430
135492420bcb
142a75ab9ca0
15172be23a60
hexd3d336964

56861354340 has 288 divisors, whose sum is σ = 209089520640. Its totient is φ = 12218169600.

The previous prime is 56861354327. The next prime is 56861354383. The reversal of 56861354340 is 4345316865.

56861354340 is a `hidden beast` number, since 5 + 6 + 8 + 61 + 3 + 543 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3127075 + ... + 3145205.

It is an arithmetic number, because the mean of its divisors is an integer number (726005280).

Almost surely, 256861354340 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 56861354340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104544760320).

56861354340 is an abundant number, since it is smaller than the sum of its proper divisors (152228166300).

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

56861354340 is a wasteful number, since it uses less digits than its factorization.

56861354340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18303 (or 18298 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 56861354340 in words is "fifty-six billion, eight hundred sixty-one million, three hundred fifty-four thousand, three hundred forty".