Search a number
-
+
581354868440 = 235471429216397
BaseRepresentation
bin10000111010110110111…
…00110100111011011000
32001120120121202020100002
420131123130310323120
534011103321242230
61123023140232132
760000341563613
oct10353334647330
92046517666302
10581354868440
11204607738265
129480669b648
1342a8ab8bb98
14201cdcc317a
15101c802e545
hex875b734ed8

581354868440 has 64 divisors (see below), whose sum is σ = 1336820284800. Its totient is φ = 227433927168.

The previous prime is 581354868401. The next prime is 581354868527. The reversal of 581354868440 is 44868453185.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2578322 + ... + 2794718.

It is an arithmetic number, because the mean of its divisors is an integer number (20887816950).

Almost surely, 2581354868440 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 581354868440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668410142400).

581354868440 is an abundant number, since it is smaller than the sum of its proper divisors (755465416360).

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

581354868440 is a wasteful number, since it uses less digits than its factorization.

581354868440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217884 (or 217880 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 56.

The spelling of 581354868440 in words is "five hundred eighty-one billion, three hundred fifty-four million, eight hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1429 1880 2858 5716 7145 11432 14290 28580 57160 67163 134326 216397 268652 335815 432794 537304 671630 865588 1081985 1343260 1731176 2163970 2686520 4327940 8655880 10170659 20341318 40682636 50853295 81365272 101706590 203413180 309231313 406826360 618462626 1236925252 1546156565 2473850504 3092313130 6184626260 12369252520 14533871711 29067743422 58135486844 72669358555 116270973688 145338717110 290677434220 581354868440