Search a number
-
+
5768168436 = 2234234347383
BaseRepresentation
bin1010101111100111…
…10100001111110100
3112212222211022120000
411113303310033310
543303122342221
62352211511300
7262640423412
oct52763641764
915788738500
105768168436
11249aa87358
12114b8b8530
1370c047c24
143ca1022b2
1523b5e1e26
hex157cf43f4

5768168436 has 240 divisors, whose sum is σ = 16486170624. Its totient is φ = 1753545024.

The previous prime is 5768168431. The next prime is 5768168449. The reversal of 5768168436 is 6348618675.

5768168436 is a `hidden beast` number, since 5 + 76 + 81 + 68 + 436 = 666.

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

Its product of digits (5806080) is a multiple of the sum of its prime factors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5768168431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15060301 + ... + 15060683.

Almost surely, 25768168436 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 5768168436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8243085312).

5768168436 is an abundant number, since it is smaller than the sum of its proper divisors (10718002188).

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

5768168436 is a wasteful number, since it uses less digits than its factorization.

5768168436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 501 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 5768168436 is about 75948.4590758759. The cubic root of 5768168436 is about 1793.4088610630.

The spelling of 5768168436 in words is "five billion, seven hundred sixty-eight million, one hundred sixty-eight thousand, four hundred thirty-six".