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5369341689856 = 2144324212
BaseRepresentation
bin100111000100010010110…
…1101000100000000000000
3201000022012122122222021201
41032020211231010000000
51200432402433033411
615230350322430544
71062631202216554
oct116104555040000
921008178588251
105369341689856
111790141450761
12728745802454
132cc432b36b91
14147c3dcd9864
1594a078063c1
hex4e225b44000

5369341689856 has 135 divisors (see below), whose sum is σ = 11020068305253. Its totient is φ = 2616008048640.

The previous prime is 5369341689823. The next prime is 5369341689857. The reversal of 5369341689856 is 6589861439635.

The square root of 5369341689856 is 2317184.

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

It can be written as a sum of positive squares in only one way, i.e., 25477267456 + 5343864422400 = 159616^2 + 2311680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5369341689857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12753780526 + ... + 12753780946.

Almost surely, 25369341689856 is an apocalyptic number.

5369341689856 is the 2317184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5369341689856

5369341689856 is an abundant number, since it is smaller than the sum of its proper divisors (5650726615397).

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

5369341689856 is an frugal number, since it uses more digits than its factorization.

5369341689856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 466 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 73.

It can be divided in two parts, 5369 and 341689856, that added together give a square (341695225 = 184852).

The spelling of 5369341689856 in words is "five trillion, three hundred sixty-nine billion, three hundred forty-one million, six hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 421 512 688 842 1024 1376 1684 1849 2048 2752 3368 3698 4096 5504 6736 7396 8192 11008 13472 14792 16384 18103 22016 26944 29584 36206 44032 53888 59168 72412 88064 107776 118336 144824 176128 177241 215552 236672 289648 352256 354482 431104 473344 579296 704512 708964 778429 862208 946688 1158592 1417928 1556858 1724416 1893376 2317184 2835856 3113716 3448832 3786752 4634368 5671712 6227432 6897664 7573504 7621363 9268736 11343424 12454864 15147008 15242726 18537472 22686848 24909728 30294016 30485452 37074944 45373696 49819456 60970904 74149888 90747392 99638912 121941808 148299776 181494784 199277824 243883616 296599552 327718609 362989568 398555648 487767232 655437218 725979136 797111296 975534464 1310874436 1451958272 1594222592 1951068928 2621748872 2903916544 3188445184 3902137856 5243497744 6376890368 7804275712 10486995488 12753780736 15608551424 20973990976 31217102848 41947981952 62434205696 83895963904 124868411392 167791927808 335583855616 671167711232 1342335422464 2684670844928 5369341689856