Search a number
-
+
56585744480 = 25523103149287
BaseRepresentation
bin110100101100110001…
…011111000001100000
312102001120001122200002
4310230301133001200
51411341422310410
641554540515132
74042150614656
oct645461370140
9172046048602
1056585744480
1121aa81a5391
12ab7254baa8
13544a2b2855
142a4b254dd6
151712b317a5
hexd2cc5f060

56585744480 has 96 divisors (see below), whose sum is σ = 140851436544. Its totient is φ = 21439858176.

The previous prime is 56585744473. The next prime is 56585744489. The reversal of 56585744480 is 8444758565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56585744489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304397 + ... + 453683.

It is an arithmetic number, because the mean of its divisors is an integer number (1467202464).

Almost surely, 256585744480 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 56585744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70425718272).

56585744480 is an abundant number, since it is smaller than the sum of its proper divisors (84265692064).

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

56585744480 is a wasteful number, since it uses less digits than its factorization.

56585744480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149428 (or 149420 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 56.

The spelling of 56585744480 in words is "fifty-six billion, five hundred eighty-five million, seven hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 103 115 160 184 206 230 368 412 460 515 736 824 920 1030 1648 1840 2060 2369 3296 3680 4120 4738 8240 9476 11845 16480 18952 23690 37904 47380 75808 94760 149287 189520 298574 379040 597148 746435 1194296 1492870 2388592 2985740 3433601 4777184 5971480 6867202 11942960 13734404 15376561 17168005 23885920 27468808 30753122 34336010 54937616 61506244 68672020 76882805 109875232 123012488 137344040 153765610 246024976 274688080 307531220 353660903 492049952 549376160 615062440 707321806 1230124880 1414643612 1768304515 2460249760 2829287224 3536609030 5658574448 7073218060 11317148896 14146436120 28292872240 56585744480