Search a number
-
+
189591447241 = 7217236592
BaseRepresentation
bin1011000010010010000…
…1111110011011001001
3200010100221202102100101
42300210201332123021
511101240402302431
6223032550405401
716461152466100
oct2604441763311
9603327672311
10189591447241
117345047a489
12308b1960861
1314b55ab7511
1492679ad037
154de97b3961
hex2c2487e6c9

189591447241 has 27 divisors (see below), whose sum is σ = 234345575559. Its totient is φ = 152905921728.

The previous prime is 189591447203. The next prime is 189591447259. The reversal of 189591447241 is 142744195981.

The square root of 189591447241 is 435421.

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., 147605798025 + 41985649216 = 384195^2 + 204904^2 .

It is not a de Polignac number, because 189591447241 - 27 = 189591447113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189591447271) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51813270 + ... + 51816928.

Almost surely, 2189591447241 is an apocalyptic number.

189591447241 is the 435421-st square number.

189591447241 is the 217711-st centered octagonal number.

It is an amenable number.

189591447241 is a deficient number, since it is larger than the sum of its proper divisors (44754128318).

189591447241 is an frugal number, since it uses more digits than its factorization.

189591447241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7366 (or 3683 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 55.

The spelling of 189591447241 in words is "one hundred eighty-nine billion, five hundred ninety-one million, four hundred forty-seven thousand, two hundred forty-one".

Divisors: 1 7 17 49 119 289 833 2023 3659 14161 25613 62203 179291 435421 1057451 3047947 7402157 13388281 51815099 93717967 227600777 656025769 1593205439 3869213209 11152438073 27084492463 189591447241