Search a number
-
+
197858348161369 = 721921057612
BaseRepresentation
bin101100111111001101111100…
…100011101101100101011001
3221221120001222110212020020121
4230333031330203231211121
5201413202344112130434
61540450511553553241
756450536213124200
oct5477157443554531
9857501873766217
10197858348161369
1158053288420635
121a236334575821
138652c67b7c81c
1436c05763da237
1517d1b3a3517b4
hexb3f37c8ed959

197858348161369 has 27 divisors (see below), whose sum is σ = 242915392374111. Its totient is φ = 160665410183040.

The previous prime is 197858348161351. The next prime is 197858348161391. The reversal of 197858348161369 is 963161843858791.

The square root of 197858348161369 is 14066213.

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., 3134185151769 + 194724163009600 = 1770363^2 + 13954360^2 .

It is not a de Polignac number, because 197858348161369 - 225 = 197858314606937 is a prime.

It is a super-2 number, since 2×1978583481613692 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (197858348165369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1870753449 + ... + 1870859209.

Almost surely, 2197858348161369 is an apocalyptic number.

197858348161369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

197858348161369 is the 14066213-rd square number.

197858348161369 is the 7033107-th centered octagonal number.

It is an amenable number.

197858348161369 is a deficient number, since it is larger than the sum of its proper divisors (45057044212742).

197858348161369 is an frugal number, since it uses more digits than its factorization.

197858348161369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211574 (or 105787 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 79.

The spelling of 197858348161369 in words is "one hundred ninety-seven trillion, eight hundred fifty-eight billion, three hundred forty-eight million, one hundred sixty-one thousand, three hundred sixty-nine".

Divisors: 1 7 19 49 133 361 931 2527 17689 105761 740327 2009459 5182289 14066213 38179721 98463491 267258047 1870806329 11185389121 78297723847 212522393299 548084066929 1487656753093 4037925472681 10413597271651 28265478308767 197858348161369