Search a number
-
+
641056023624654 = 233113724318333173
BaseRepresentation
bin1001000111000010010111110…
…0100100011011101111001110
310010001210100122111120121202000
42101300211330210123233032
51133011030214021442104
610151225023252013130
7252012524605120461
oct22160457444335716
93101710574517660
10641056023624654
11176295373049350
125ba94b513011a6
132169142905a881
14b4433c44bd2d8
154e1a511c48639
hex247097c91bbce

641056023624654 has 192 divisors, whose sum is σ = 1634356995828480. Its totient is φ = 184613575386240.

The previous prime is 641056023624589. The next prime is 641056023624659. The reversal of 641056023624654 is 456426320650146.

641056023624654 is a `hidden beast` number, since 6 + 4 + 1 + 0 + 5 + 6 + 0 + 2 + 3 + 624 + 6 + 5 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 641056023624654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641056023624659) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25800412 + ... + 44133584.

It is an arithmetic number, because the mean of its divisors is an integer number (8512276019940).

Almost surely, 2641056023624654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641056023624654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817178497914240).

641056023624654 is an abundant number, since it is smaller than the sum of its proper divisors (993300972203826).

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

641056023624654 is a wasteful number, since it uses less digits than its factorization.

641056023624654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18333312 (or 18333269 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 641056023624654 in words is "six hundred forty-one trillion, fifty-six billion, twenty-three million, six hundred twenty-four thousand, six hundred fifty-four".