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11179139364484 = 2272132183712
BaseRepresentation
bin1010001010101101100010…
…1000010111011010000100
31110120201022102222021120121
42202223120220113122010
52431124334134130414
635435343053511324
72232444331515100
oct242533050273204
943521272867517
1011179139364484
113620056805973
1213067131a2544
1363125a975400
142a9104d40900
15145bdd55e724
hexa2ad8a17684

11179139364484 has 81 divisors (see below), whose sum is σ = 24644114653221. Its totient is φ = 4422275938080.

The previous prime is 11179139364469. The next prime is 11179139364487. The reversal of 11179139364484 is 48446393197111.

The square root of 11179139364484 is 3343522.

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., 1653718840900 + 9525420523584 = 1285970^2 + 3086328^2 .

It is not an unprimeable number, because it can be changed into a prime (11179139364487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 608511819 + ... + 608530189.

Almost surely, 211179139364484 is an apocalyptic number.

11179139364484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11179139364484 is the 3343522-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11179139364484

11179139364484 is an abundant number, since it is smaller than the sum of its proper divisors (13464975288737).

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

11179139364484 is an frugal number, since it uses more digits than its factorization.

11179139364484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36786 (or 18393 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 61.

The spelling of 11179139364484 in words is "eleven trillion, one hundred seventy-nine billion, one hundred thirty-nine million, three hundred sixty-four thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2366 2548 4732 8281 16562 18371 33124 36742 73484 128597 238823 257194 477646 514388 900179 955292 1671761 1800358 3104699 3343522 3600716 6209398 6687044 11702327 12418796 21732893 23404654 43465786 46809308 86931572 152130251 304260502 337493641 608521004 674987282 1349974564 2362455487 4387417333 4724910974 8774834666 9449821948 16537188409 17549669332 30711921331 33074376818 57036425329 61423842662 66148753636 114072850658 122847685324 214983449317 228145701316 399254977303 429966898634 798509954606 859933797268 1597019909212 2794784841121 5589569682242 11179139364484