Search a number
-
+
256010154408 = 233213931381727
BaseRepresentation
bin1110111001101101100…
…1001111000110101000
3220110210210021100000200
43232123121033012220
513143302044420113
6313335350032200
724332112256551
oct3563331170650
9813723240020
10256010154408
1199634070208
1241749348660
131b1ac2a1888
14c568b05328
1569d57aa873
hex3b9b64f1a8

256010154408 has 96 divisors (see below), whose sum is σ = 700588761600. Its totient is φ = 84451071744.

The previous prime is 256010154391. The next prime is 256010154437. The reversal of 256010154408 is 804451010652.

It is a happy number.

256010154408 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 101 + 544 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3091641 + ... + 3173367.

It is an arithmetic number, because the mean of its divisors is an integer number (7297799600).

Almost surely, 2256010154408 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 256010154408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350294380800).

256010154408 is an abundant number, since it is smaller than the sum of its proper divisors (444578607192).

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

256010154408 is a wasteful number, since it uses less digits than its factorization.

256010154408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82191 (or 82184 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 256010154408 in words is "two hundred fifty-six billion, ten million, one hundred fifty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 313 417 556 626 834 939 1112 1251 1252 1668 1878 2502 2504 2817 3336 3756 5004 5634 7512 10008 11268 22536 43507 81727 87014 130521 163454 174028 245181 261042 326908 348056 391563 490362 522084 653816 735543 783126 980724 1044168 1471086 1566252 1961448 2942172 3132504 5884344 11360053 22720106 25580551 34080159 45440212 51161102 68160318 76741653 90880424 102240477 102322204 136320636 153483306 204480954 204644408 230224959 272641272 306966612 408961908 460449918 613933224 817923816 920899836 1841799672 3555696589 7111393178 10667089767 14222786356 21334179534 28445572712 32001269301 42668359068 64002538602 85336718136 128005077204 256010154408