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255342243552 = 253111003724091
BaseRepresentation
bin1110110111001110010…
…1010110111011100000
3220102002020110221120120
43231303211112323200
513140420103243202
6313145210240240
724306422154564
oct3556345267340
9812066427516
10255342243552
1199321048970
12415a1726080
131b103ab9356
14c5041216a4
156996d260bc
hex3b73956ee0

255342243552 has 96 divisors (see below), whose sum is σ = 731310539904. Its totient is φ = 77365516800.

The previous prime is 255342243509. The next prime is 255342243557.

255342243552 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2553422435522 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255342243557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10587027 + ... + 10611117.

It is an arithmetic number, because the mean of its divisors is an integer number (7617818124).

Almost surely, 2255342243552 is an apocalyptic number.

255342243552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

255342243552 is an abundant number, since it is smaller than the sum of its proper divisors (475968296352).

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

255342243552 is a wasteful number, since it uses less digits than its factorization.

255342243552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34152 (or 34144 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 42.

It can be divided in two parts, 255342 and 243552, that added together give a palindrome (498894).

The spelling of 255342243552 in words is "two hundred fifty-five billion, three hundred forty-two million, two hundred forty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 10037 20074 24091 30111 40148 48182 60222 72273 80296 96364 110407 120444 144546 160592 192728 220814 240888 265001 289092 321184 331221 385456 441628 481776 530002 578184 662442 770912 795003 883256 963552 1060004 1156368 1324884 1590006 1766512 2120008 2312736 2649768 3180012 3533024 4240016 5299536 6360024 8480032 10599072 12720048 25440096 241801367 483602734 725404101 967205468 1450808202 1934410936 2659815037 2901616404 3868821872 5319630074 5803232808 7737643744 7979445111 10639260148 11606465616 15958890222 21278520296 23212931232 31917780444 42557040592 63835560888 85114081184 127671121776 255342243552