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255243363342552 = 23331390898633669
BaseRepresentation
bin111010000010010001111010…
…000000001101100011011000
31020110202000201211222011202000
4322002101322000031203120
5231423401402003430202
62302505103220241000
7104522503326056244
oct7202217200154330
91213660654864660
10255243363342552
1174368114476182
1224763a59b40160
13ac56465ba7350
144705bb7c0b424
151e796eb79291c
hexe8247a00d8d8

255243363342552 has 64 divisors (see below), whose sum is σ = 763548522828000. Its totient is φ = 78536419489152.

The previous prime is 255243363342547. The next prime is 255243363342581.

255243363342552 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 43 + 3 + 6 + 3 + 3 + 42 + 552 = 666.

255243363342552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 45449314027 + ... + 45449319642.

Almost surely, 2255243363342552 is an apocalyptic number.

It is an amenable number.

255243363342552 is an abundant number, since it is smaller than the sum of its proper divisors (508305159485448).

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

255243363342552 is a wasteful number, since it uses less digits than its factorization.

255243363342552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90898633697 (or 90898633687 counting only the distinct ones).

The product of its digits is 77760000, while the sum is 54.

The spelling of 255243363342552 in words is "two hundred fifty-five trillion, two hundred forty-three billion, three hundred sixty-three million, three hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 90898633669 181797267338 272695901007 363594534676 545391802014 727189069352 818087703021 1090783604028 1181682237697 1636175406042 2181567208056 2363364475394 2454263109063 3272350812084 3545046713091 4726728950788 4908526218126 6544701624168 7090093426182 9453457901576 9817052436252 10635140139273 14180186852364 19634104872504 21270280278546 28360373704728 31905420417819 42540560557092 63810840835638 85081121114184 127621681671276 255243363342552