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255131151631026 = 231127930714489767
BaseRepresentation
bin111010000000101001011001…
…101010100000001010110010
31020110100022002121211121112020
4322000221121222200022302
5231420032044304143101
62302341344422012310
7104511421530211236
oct7200513152401262
91213308077747466
10255131151631026
1174324571927500
1224746162577096
13ac489c24081c8
1447005b0dbc5c6
151e76830418136
hexe80a59aa02b2

255131151631026 has 96 divisors (see below), whose sum is σ = 569816502097920. Its totient is φ = 76085181675360.

The previous prime is 255131151630959. The next prime is 255131151631249. The reversal of 255131151631026 is 620136151131552.

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, 10362795 + ... + 24852561.

It is an arithmetic number, because the mean of its divisors is an integer number (5935588563520).

Almost surely, 2255131151631026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255131151631026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284908251048960).

255131151631026 is an abundant number, since it is smaller than the sum of its proper divisors (314685350466894).

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

255131151631026 is a wasteful number, since it uses less digits than its factorization.

255131151631026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14490180 (or 14490169 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 255131151631026 in words is "two hundred fifty-five trillion, one hundred thirty-one billion, one hundred fifty-one million, six hundred thirty-one thousand, twenty-six".

Divisors: 1 2 3 6 11 22 33 66 79 121 158 237 242 307 363 474 614 726 869 921 1738 1842 2607 3377 5214 6754 9559 10131 19118 20262 24253 28677 37147 48506 57354 72759 74294 111441 145518 222882 266783 533566 800349 1600698 2934613 5869226 8803839 14489767 17607678 28979534 43469301 86938602 159387437 318774874 478162311 956324622 1144691593 1753261807 2289383186 3434074779 3506523614 4448358469 5259785421 6868149558 8896716938 10519570842 12591607523 13345075407 25183215046 26690150814 37774822569 48931943159 75549645138 97863886318 138507682753 146795829477 277015365506 293591658954 351420319051 415523048259 538251374749 702840638102 831046096518 1054260957153 1076502749498 1614754124247 2108521914306 3229508248494 3865623509561 7731247019122 11596870528683 23193741057366 42521858605171 85043717210342 127565575815513 255131151631026