Search a number
-
+
656423422464220 = 2254312740283149197
BaseRepresentation
bin1001010101000000110111110…
…0111010110001000011011100
310012002012110120221122211021221
42111100031330322301003130
51142014320132122323340
610244032431321503124
7255160012225036255
oct22520157472610334
93162173527584257
10656423422464220
1118017a67906a924
1261757310041aa4
13222376036653b8
14b8150c5487b2c
1550d512db1d44a
hex255037ceb10dc

656423422464220 has 96 divisors (see below), whose sum is σ = 1421698565726208. Its totient is φ = 254435688283392.

The previous prime is 656423422464191. The next prime is 656423422464449. The reversal of 656423422464220 is 22464224324656.

It is a happy number.

It is a super-2 number, since 2×6564234224642202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4399634662 + ... + 4399783858.

It is an arithmetic number, because the mean of its divisors is an integer number (14809360059648).

Almost surely, 2656423422464220 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 656423422464220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710849282863104).

656423422464220 is an abundant number, since it is smaller than the sum of its proper divisors (765275143261988).

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

656423422464220 is a wasteful number, since it uses less digits than its factorization.

656423422464220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189659 (or 189657 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 52.

Adding to 656423422464220 its reverse (22464224324656), we get a palindrome (678887646788876).

The spelling of 656423422464220 in words is "six hundred fifty-six trillion, four hundred twenty-three billion, four hundred twenty-two million, four hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 127 172 215 254 430 508 635 860 1270 2540 5461 10922 21844 27305 40283 54610 80566 109220 149197 161132 201415 298394 402830 596788 745985 805660 1491970 1732169 2983940 3464338 5115941 6415471 6928676 8660845 10231882 12830942 17321690 18948019 20463764 25579705 25661884 32077355 34643380 37896038 51159410 64154710 75792076 94740095 102318820 128309420 189480190 219985463 378960380 439970926 814764817 879941852 1099927315 1629529634 2199854630 3259059268 4073824085 4399709260 6010102751 8147648170 12020205502 16295296340 24040411004 30050513755 60101027510 120202055020 258434418293 516868836586 763283049377 1033737673172 1292172091465 1526566098754 2584344182930 3053132197508 3816415246885 5168688365860 7632830493770 15265660987540 32821171123211 65642342246422 131284684492844 164105855616055 328211711232110 656423422464220