Search a number
-
+
581379744920 = 2351331283107131
BaseRepresentation
bin10000111010111001110…
…11101110010010011000
32001120122100120002110012
420131130323232102120
534011131203314140
61123025425341052
760001063203032
oct10353473562230
92046570502405
10581379744920
1120461a789337
1294812a97788
1342a9308bab0
14201d331ac52
15101ca2e5265
hex875ceee498

581379744920 has 384 divisors, whose sum is σ = 1498293054720. Its totient is φ = 201765657600.

The previous prime is 581379744859. The next prime is 581379744937. The reversal of 581379744920 is 29447973185.

It is a self number, because there is not a number n which added to its sum of digits gives 581379744920.

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, 4438013255 + ... + 4438013385.

It is an arithmetic number, because the mean of its divisors is an integer number (3901804830).

Almost surely, 2581379744920 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 581379744920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749146527360).

581379744920 is an abundant number, since it is smaller than the sum of its proper divisors (916913309800).

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

581379744920 is a wasteful number, since it uses less digits than its factorization.

581379744920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 59.

The spelling of 581379744920 in words is "five hundred eighty-one billion, three hundred seventy-nine million, seven hundred forty-four thousand, nine hundred twenty".