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255233363332552 = 231121765323751989
BaseRepresentation
bin111010000010001000100101…
…111101001100110111001000
31020110201001220221012000220021
4322002020211331030313020
5231423220412003120202
62302500331033310224
7104522000451303163
oct7202104575146710
91213631827160807
10255233363332552
1174363952754700
1224761b28b65374
13ac555311b5477
144705509a84ada
151e793138d1a37
hexe82225f4cdc8

255233363332552 has 96 divisors (see below), whose sum is σ = 557818810428600. Its totient is φ = 109023525079040.

The previous prime is 255233363332531. The next prime is 255233363332559.

255233363332552 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 159536957070436 + 95696406262116 = 12630794^2 + 9782454^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 255233363332552.

It is not an unprimeable number, because it can be changed into a prime (255233363332559) 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, 1130227 + ... + 22621762.

Almost surely, 2255233363332552 is an apocalyptic number.

255233363332552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

255233363332552 is an abundant number, since it is smaller than the sum of its proper divisors (302585447096048).

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

255233363332552 is a wasteful number, since it uses less digits than its factorization.

255233363332552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23752687 (or 23752672 counting only the distinct ones).

The product of its digits is 43740000, while the sum is 52.

The spelling of 255233363332552 in words is "two hundred fifty-five trillion, two hundred thirty-three billion, three hundred sixty-three million, three hundred thirty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 653 748 968 1306 1496 2057 2612 4114 5224 7183 8228 11101 14366 16456 22202 28732 44404 57464 79013 88808 122111 158026 244222 316052 488444 632104 976888 1343221 2686442 5372884 10745768 23751989 47503978 95007956 190015912 261271879 403783813 522543758 807567626 1045087516 1615135252 2090175032 2873990669 3230270504 4441621943 5747981338 8883243886 11495962676 15510048817 17766487772 22991925352 31020097634 35532975544 48857841373 62040195268 97715682746 124080390536 170610536987 195431365492 263670829889 341221073974 390862730984 527341659778 682442147948 1054683319556 1364884295896 1876715906857 2109366639112 2900379128779 3753431813714 5800758257558 7506863627428 11601516515116 15013727254856 23203033030232 31904170416569 63808340833138 127616681666276 255233363332552