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255984774942 = 23135375238231
BaseRepresentation
bin1110111001100111100…
…0011010111100011110
3220110202000111220221110
43232121320122330132
513143224100244232
6313333042042450
724331353454131
oct3563170327436
9813660456843
10255984774942
1199620806246
1241740949426
131b1a6c56a40
14c5655ba218
1569d3445acc
hex3b99e1af1e

255984774942 has 64 divisors (see below), whose sum is σ = 561897616896. Its totient is φ = 77258762880.

The previous prime is 255984774937. The next prime is 255984774979. The reversal of 255984774942 is 249477489552.

255984774942 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2559847749422 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31095967 + ... + 31104197.

It is an arithmetic number, because the mean of its divisors is an integer number (8779650264).

Almost surely, 2255984774942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255984774942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280948808448).

255984774942 is an abundant number, since it is smaller than the sum of its proper divisors (305912841954).

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

255984774942 is a wasteful number, since it uses less digits than its factorization.

255984774942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15825.

The product of its digits is 203212800, while the sum is 66.

The spelling of 255984774942 in words is "two hundred fifty-five billion, nine hundred eighty-four million, seven hundred seventy-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 1378 2067 4134 7523 8231 15046 16462 22569 24693 45138 49386 97799 107003 195598 214006 293397 321009 398719 436243 586794 642018 797438 872486 1196157 1308729 2392314 2617458 5183347 5671159 10366694 11342318 15550041 17013477 31100082 34026954 61921813 123843626 185765439 371530878 804983569 1609967138 2414950707 3281856089 4829901414 6563712178 9845568267 19691136534 42664129157 85328258314 127992387471 255984774942