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255868392252 = 2231121289136709
BaseRepresentation
bin1110111001001011110…
…0011101001100111100
3220110102220112001220110
43232102330131030330
513143004302023002
6313313323350020
724325441310034
oct3562274351474
9813386461813
10255868392252
1199571045200
1241709982310
131b188ac8445
14c553d628c4
1569c8106e6c
hex3b92f1d33c

255868392252 has 72 divisors (see below), whose sum is σ = 656749371600. Its totient is φ = 77475157760.

The previous prime is 255868392251. The next prime is 255868392257. The reversal of 255868392252 is 252293868552.

255868392252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 255868392192 and 255868392201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255868392251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1803274 + ... + 1939982.

It is an arithmetic number, because the mean of its divisors is an integer number (9121519050).

Almost surely, 2255868392252 is an apocalyptic number.

255868392252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255868392252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328374685800).

255868392252 is an abundant number, since it is smaller than the sum of its proper divisors (400880979348).

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

255868392252 is a wasteful number, since it uses less digits than its factorization.

255868392252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138027 (or 138014 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 57.

The spelling of 255868392252 in words is "two hundred fifty-five billion, eight hundred sixty-eight million, three hundred ninety-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1289 1452 2578 3867 5156 7734 14179 15468 28358 42537 56716 85074 136709 155969 170148 273418 311938 410127 467907 546836 623876 820254 935814 1503799 1640508 1871628 3007598 4511397 6015196 9022794 16541789 18045588 33083578 49625367 66167156 99250734 176217901 198501468 352435802 528653703 704871604 1057307406 1938396911 2114614812 3876793822 5815190733 7753587644 11630381466 21322366021 23260762932 42644732042 63967098063 85289464084 127934196126 255868392252