Search a number
-
+
116979732529 = 112172312592
BaseRepresentation
bin110110011110010001…
…0010001000000110001
3102011221112000010102021
41230330202101000301
53404033302420104
6125423441351441
711310603214612
oct1547442210061
9364845003367
10116979732529
114567a011500
121a808338581
13b053557a5a
14593a185c09
153099c5b754
hex1b3c891031

116979732529 has 81 divisors (see below), whose sum is σ = 143570493003. Its totient is φ = 95219203200.

The previous prime is 116979732523. The next prime is 116979732533. The reversal of 116979732529 is 925237979611.

The square root of 116979732529 is 342023.

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., 91074186225 + 25905546304 = 301785^2 + 160952^2 .

It is not a de Polignac number, because 116979732529 - 211 = 116979730481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116979732523) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1982707302 + ... + 1982707360.

Almost surely, 2116979732529 is an apocalyptic number.

116979732529 is the 342023-rd square number.

116979732529 is the 171012-nd centered octagonal number.

It is an amenable number.

116979732529 is a deficient number, since it is larger than the sum of its proper divisors (26590760474).

116979732529 is an equidigital number, since it uses as much as digits as its factorization.

116979732529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its digits is 12859560, while the sum is 61.

The spelling of 116979732529 in words is "one hundred sixteen billion, nine hundred seventy-nine million, seven hundred thirty-two thousand, five hundred twenty-nine".

Divisors: 1 11 17 31 59 121 187 289 341 527 649 961 1003 1829 2057 3179 3481 3751 5797 7139 8959 10571 11033 16337 17051 20119 31093 34969 38291 56699 59177 63767 98549 107911 116281 121363 179707 187561 221309 277729 342023 421201 528581 623689 650947 963883 1006009 1084039 1187021 1834487 1976777 2063171 3055019 3345241 3762253 5814391 6860579 7160417 10602713 11066099 13057231 16386011 20179357 31186279 33605209 36797651 56869097 63958301 116629843 121727089 180246121 221972927 343049069 404774161 625560067 966774649 1982707331 3773539759 6881160737 10634521139 116979732529