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255103301552 = 241134719512141
BaseRepresentation
bin1110110110010101010…
…1110111011110110000
3220101110120212102202212
43231211111313132300
513134422421122202
6313105353031252
724300461166641
oct3554525673660
9811416772685
10255103301552
1199209188240
12415356b5528
131b096448c58
14c4c04c36c8
156980d78652
hex3b655777b0

255103301552 has 80 divisors (see below), whose sum is σ = 541279355904. Its totient is φ = 115508640000.

The previous prime is 255103301543. The next prime is 255103301597.

255103301552 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 119150402 + ... + 119152542.

Almost surely, 2255103301552 is an apocalyptic number.

255103301552 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 255103301552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270639677952).

255103301552 is an abundant number, since it is smaller than the sum of its proper divisors (286176054352).

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

255103301552 is a wasteful number, since it uses less digits than its factorization.

255103301552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4452 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

It can be divided in two parts, 255103 and 301552, that added together give a palindrome (556655).

The spelling of 255103301552 in words is "two hundred fifty-five billion, one hundred three million, three hundred one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 347 694 1388 1951 2141 2776 3817 3902 4282 5552 7634 7804 8564 15268 15608 17128 21461 23551 30536 31216 34256 42922 47102 61072 85844 94204 171688 188408 343376 376816 676997 742927 1353994 1485854 2707988 2971708 4177091 5415976 5943416 7446967 8172197 8354182 10831952 11886832 14893934 16344394 16708364 29787868 32688788 33416728 45948001 59575736 65377576 66833456 91896002 119151472 130755152 183792004 367584008 735168016 1449450577 2898901154 5797802308 11595604616 15943956347 23191209232 31887912694 63775825388 127551650776 255103301552