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197588251081 = 13231211032
BaseRepresentation
bin1011100000000100101…
…1010111000111001001
3200220000021011010221101
42320001023113013021
511214130043013311
6230434253541401
720163264265024
oct2700113270711
9626007133841
10197588251081
1176884464581
1232363aa4861
131582b77b900
1497c5a841bb
15521687bec1
hex2e012d71c9

197588251081 has 27 divisors (see below), whose sum is σ = 221281588647. Its totient is φ = 176345610480.

The previous prime is 197588251079. The next prime is 197588251153. The reversal of 197588251081 is 180152885791.

It is a happy number.

The square root of 197588251081 is 444509.

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., 29229031225 + 168359219856 = 170965^2 + 410316^2 .

It is not a de Polignac number, because 197588251081 - 21 = 197588251079 is a prime.

It is a super-2 number, since 2×1975882510812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (197588251001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 179136576 + ... + 179137678.

Almost surely, 2197588251081 is an apocalyptic number.

197588251081 is the 444509-th square number.

197588251081 is the 222255-th centered octagonal number.

It is an amenable number.

197588251081 is a deficient number, since it is larger than the sum of its proper divisors (23693337566).

197588251081 is an frugal number, since it uses more digits than its factorization.

197588251081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 55.

The spelling of 197588251081 in words is "one hundred ninety-seven billion, five hundred eighty-eight million, two hundred fifty-one thousand, eighty-one".

Divisors: 1 13 31 169 403 961 1103 5239 12493 14339 34193 162409 186407 444509 1059983 1216609 5778617 13779779 15815917 37714879 179137127 205606921 490293427 1169161249 6373814551 15199096237 197588251081