Search a number
-
+
884901438864 = 243227722832
BaseRepresentation
bin11001110000010000011…
…11000110010110010000
310010121002022011201002100
430320020033012112100
5103444234232020424
61514303524520400
7120634453060602
oct14701017062620
93117068151070
10884901438864
1131131487a3a3
121235bb850100
13655a46b1471
1430b88067172
1518041c48dc9
hexce083c6590

884901438864 has 135 divisors (see below), whose sum is σ = 2494281295233. Its totient is φ = 292863758976.

The previous prime is 884901438857. The next prime is 884901438943. The reversal of 884901438864 is 468834109488.

The square root of 884901438864 is 940692.

It is a perfect power (a square), and thus also a powerful number.

884901438864 is a `hidden beast` number, since 8 + 8 + 490 + 1 + 4 + 3 + 88 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 152521491600 + 732379947264 = 390540^2 + 855792^2 .

It is a super-2 number, since 2×8849014388642 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3126860067 + ... + 3126860349.

Almost surely, 2884901438864 is an apocalyptic number.

884901438864 is the 940692-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 884901438864

884901438864 is an abundant number, since it is smaller than the sum of its proper divisors (1609379856369).

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

884901438864 is an equidigital number, since it uses as much as digits as its factorization.

884901438864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 884901438864 in words is "eight hundred eighty-four billion, nine hundred one million, four hundred thirty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 277 283 554 566 831 849 1108 1132 1662 1698 2216 2264 2493 2547 3324 3396 4432 4528 4986 5094 6648 6792 9972 10188 13296 13584 19944 20376 39888 40752 76729 78391 80089 153458 156782 160178 230187 235173 240267 306916 313564 320356 460374 470346 480534 613832 627128 640712 690561 705519 720801 920748 940692 961068 1227664 1254256 1281424 1381122 1411038 1441602 1841496 1881384 1922136 2762244 2822076 2883204 3682992 3762768 3844272 5524488 5644152 5766408 11048976 11288304 11532816 21714307 22184653 43428614 44369306 65142921 66553959 86857228 88738612 130285842 133107918 173714456 177477224 195428763 199661877 260571684 266215836 347428912 354954448 390857526 399323754 521143368 532431672 781715052 798647508 1042286736 1064863344 1563430104 1597295016 3126860208 3194590032 6145148881 12290297762 18435446643 24580595524 36870893286 49161191048 55306339929 73741786572 98322382096 110612679858 147483573144 221225359716 294967146288 442450719432 884901438864