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255193077924 = 2232731993131559
BaseRepresentation
bin1110110110101010110…
…0010101100010100100
3220101200211210112210200
43231222230111202210
513140113411443144
6313122321150500
724302631241431
oct3555254254244
9811624715720
10255193077924
1199254926594
124155b78b430
131b0abc20175
14c4cc3b2b88
156988badc69
hex3b6ab158a4

255193077924 has 144 divisors (see below), whose sum is σ = 659716512000. Its totient is φ = 83157414912.

The previous prime is 255193077917. The next prime is 255193077947. The reversal of 255193077924 is 429770391552.

255193077924 is a `hidden beast` number, since 2 + 5 + 519 + 30 + 7 + 7 + 92 + 4 = 666.

255193077924 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2551930779242 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163689457 + ... + 163691015.

Almost surely, 2255193077924 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 255193077924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329858256000).

255193077924 is an abundant number, since it is smaller than the sum of its proper divisors (404523434076).

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

255193077924 is a wasteful number, since it uses less digits than its factorization.

255193077924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 255193077924 in words is "two hundred fifty-five billion, one hundred ninety-three million, seventy-seven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 199 219 292 313 398 438 597 626 657 796 876 939 1194 1252 1314 1559 1791 1878 2388 2628 2817 3118 3582 3756 4677 5634 6236 7164 9354 11268 14031 14527 18708 22849 28062 29054 43581 45698 56124 58108 62287 68547 87162 91396 113807 124574 130743 137094 174324 186861 205641 227614 249148 261486 274188 310241 341421 373722 411282 455228 487967 522972 560583 620482 682842 747444 822564 930723 975934 1024263 1121166 1240964 1365684 1463901 1861446 1951868 2048526 2242332 2792169 2927802 3722892 4097052 4391703 4546951 5584338 5855604 8783406 9093902 11168676 13640853 17566812 18187804 22647593 27281706 35621591 40922559 45295186 54563412 67942779 71243182 81845118 90590372 97105433 106864773 135885558 142486364 163690236 194210866 203828337 213729546 271771116 291316299 320594319 388421732 407656674 427459092 582632598 641188638 815313348 873948897 1165265196 1282377276 1747897794 3495795588 7088696609 14177393218 21266089827 28354786436 42532179654 63798269481 85064359308 127596538962 255193077924