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11972079889 = 76112292
BaseRepresentation
bin10110010011001011…
…10111000100010001
31010220100120200011021
423021211313010101
5144004323024024
65255551115441
7602452000000
oct131145670421
933810520137
1011972079889
115093a21900
1223a1512b81
13118a43a453
14818030c37
154a10a7de4
hex2c9977111

11972079889 has 63 divisors (see below), whose sum is σ = 15900262651. Its totient is φ = 9007207440.

The previous prime is 11972079887. The next prime is 11972079893. The reversal of 11972079889 is 98897027911.

The square root of 11972079889 is 109417.

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., 6277868289 + 5694211600 = 79233^2 + 75460^2 .

It is not a de Polignac number, because 11972079889 - 21 = 11972079887 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11972079883) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 412830327 + ... + 412830355.

Almost surely, 211972079889 is an apocalyptic number.

11972079889 is the 109417-th square number.

11972079889 is the 54709-th centered octagonal number.

It is an amenable number.

11972079889 is a deficient number, since it is larger than the sum of its proper divisors (3928182762).

11972079889 is an frugal number, since it uses more digits than its factorization.

11972079889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 61.

The spelling of 11972079889 in words is "eleven billion, nine hundred seventy-two million, seventy-nine thousand, eight hundred eighty-nine".

Divisors: 1 7 11 29 49 77 121 203 319 343 539 841 847 1421 2233 2401 3509 3773 5887 5929 9251 9947 15631 16807 24563 26411 41209 41503 64757 69629 101761 109417 117649 171941 184877 288463 290521 453299 487403 712327 765919 1203587 1294139 2019241 2033647 3173093 3411821 4986289 5361433 8425109 14134687 14235529 22211651 34904023 37530031 58975763 98942809 155481557 244328161 412830341 1088370899 1710297127 11972079889