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255327318272 = 28131710934129
BaseRepresentation
bin1110110111001010110…
…0011011000100000000
3220102001012101122221102
43231302230123010000
513140402243141042
6313143514313532
724306151252625
oct3556254330400
9812035348842
10255327318272
1199313684324
12415987288a8
131b100991a20
14c50215834c
156995878b32
hex3b72b1b100

255327318272 has 144 divisors (see below), whose sum is σ = 581820225840. Its totient is φ = 110783102976.

The previous prime is 255327318217. The next prime is 255327318277. The reversal of 255327318272 is 272813723552.

It can be written as a sum of positive squares in 8 ways, for example, as 23943229696 + 231384088576 = 154736^2 + 481024^2 .

It is not an unprimeable number, because it can be changed into a prime (255327318277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61835504 + ... + 61839632.

It is an arithmetic number, because the mean of its divisors is an integer number (4040418235).

Almost surely, 2255327318272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255327318272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290910112920).

255327318272 is an abundant number, since it is smaller than the sum of its proper divisors (326492907568).

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

255327318272 is a wasteful number, since it uses less digits than its factorization.

255327318272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268 (or 5254 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 47.

The spelling of 255327318272 in words is "two hundred fifty-five billion, three hundred twenty-seven million, three hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 544 832 884 1088 1093 1664 1768 2176 2186 3328 3536 4129 4352 4372 7072 8258 8744 14144 14209 16516 17488 18581 28288 28418 33032 34976 37162 53677 56576 56836 66064 69952 70193 74324 107354 113672 132128 139904 140386 148648 214708 227344 241553 264256 279808 280772 297296 429416 454688 483106 528512 561544 594592 858832 909376 912509 966212 1057024 1123088 1189184 1717664 1818752 1825018 1932424 2246176 2378368 3435328 3637504 3650036 3864848 4492352 4512997 4756736 6870656 7300072 7729696 8984704 9025994 13741312 14600144 15459392 17969408 18051988 29200288 30918784 36103976 58400576 58668961 61837568 72207952 76720949 116801152 117337922 144415904 153441898 233602304 234675844 288831808 306883796 469351688 577663616 613767592 938703376 997372337 1155327232 1227535184 1877406752 1994744674 2455070368 3754813504 3989489348 4910140736 7509627008 7978978696 9820281472 15019254016 15957957392 19640562944 31915914784 63831829568 127663659136 255327318272