Search a number
-
+
285327631031456 = 251317281143580433
BaseRepresentation
bin100000011100000010000010…
…0000101111001110010100000
31101102021001111012012001211002
41000320010010011321302200
5244344301442021001311
62450501412032411132
7114046145454140666
oct10070040405716240
91342231435161732
10285327631031456
1182a06850272132
12280024a63a6aa8
13c3293846669c0
145065d06a48c36
1522ec05e53a93b
hex1038104179ca0

285327631031456 has 96 divisors (see below), whose sum is σ = 642814197591888. Its totient is φ = 123502144389120.

The previous prime is 285327631031447. The next prime is 285327631031551. The reversal of 285327631031456 is 654130136723582.

It can be written as a sum of positive squares in 8 ways, for example, as 232068053088400 + 53259577943056 = 15233780^2 + 7297916^2 .

It is a super-2 number, since 2×2853276310314562 (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69802985 + ... + 73777448.

Almost surely, 2285327631031456 is an apocalyptic number.

285327631031456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

285327631031456 is an abundant number, since it is smaller than the sum of its proper divisors (357486566560432).

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

285327631031456 is a wasteful number, since it uses less digits than its factorization.

285327631031456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143580754 (or 143580746 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 56.

The spelling of 285327631031456 in words is "two hundred eighty-five trillion, three hundred twenty-seven billion, six hundred thirty-one million, thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 281 416 442 544 562 884 1124 1768 2248 3536 3653 4496 4777 7072 7306 8992 9554 14612 19108 29224 38216 58448 62101 76432 116896 124202 152864 248404 496808 993616 1987232 143580433 287160866 574321732 1148643464 1866545629 2297286928 2440867361 3733091258 4594573856 4881734722 7466182516 9763469444 14932365032 19526938888 29864730064 31731275693 39053877776 40346101673 59729460128 63462551386 78107755552 80692203346 126925102772 161384406692 253850205544 322768813384 507700411088 524499321749 645537626768 685883728441 1015400822176 1048998643498 1291075253536 1371767456882 2097997286996 2743534913764 4195994573992 5487069827528 8391989147984 8916488469733 10974139655056 16783978295968 17832976939466 21948279310112 35665953878932 71331907757864 142663815515728 285327631031456