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188459306161 = 72620172
BaseRepresentation
bin1010111110000100001…
…1001100110010110001
3200000110001102200202021
42233201003030302301
511041431040244121
6222324344551441
716421124446200
oct2574103146261
9600401380667
10188459306161
1172a1a4020a5
1230636782581
1314a05392159
14919b4a5237
154d801ce641
hex2be10cccb1

188459306161 has 9 divisors (see below), whose sum is σ = 219231707499. Its totient is φ = 161533943424.

The previous prime is 188459306159. The next prime is 188459306173. The reversal of 188459306161 is 161603954881.

The square root of 188459306161 is 434119.

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., 188264871025 + 194435136 = 433895^2 + 13944^2 .

It is not a de Polignac number, because 188459306161 - 21 = 188459306159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 188459306099 and 188459306108.

It is not an unprimeable number, because it can be changed into a prime (188459306141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3007825 + ... + 3069841.

It is an arithmetic number, because the mean of its divisors is an integer number (24359078611).

Almost surely, 2188459306161 is an apocalyptic number.

188459306161 is the 434119-th square number.

188459306161 is the 217060-th centered octagonal number.

It is an amenable number.

188459306161 is a deficient number, since it is larger than the sum of its proper divisors (30772401338).

188459306161 is an frugal number, since it uses more digits than its factorization.

188459306161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124048 (or 62024 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The spelling of 188459306161 in words is "one hundred eighty-eight billion, four hundred fifty-nine million, three hundred six thousand, one hundred sixty-one".

Divisors: 1 7 49 62017 434119 3038833 3846108289 26922758023 188459306161