Search a number
-
+
188480671141 = 7237733141829
BaseRepresentation
bin1010111110001001010…
…0101100110110100101
3200000111112122010222211
42233202110230312211
511042002022434031
6222330430523421
716421504161600
oct2574224546645
9600445563884
10188480671141
1172a30474a04
1230641966571
1314a09932959
1491a0267337
154d81eeebb1
hex2be252cda5

188480671141 has 24 divisors (see below), whose sum is σ = 225487574520. Its totient is φ = 156972961152.

The previous prime is 188480671139. The next prime is 188480671177. The reversal of 188480671141 is 141176084881.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76626544225 + 111854126916 = 276815^2 + 334446^2 .

It is not a de Polignac number, because 188480671141 - 21 = 188480671139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188480671241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1258015 + ... + 1399843.

It is an arithmetic number, because the mean of its divisors is an integer number (9395315605).

Almost surely, 2188480671141 is an apocalyptic number.

It is an amenable number.

188480671141 is a deficient number, since it is larger than the sum of its proper divisors (37006903379).

188480671141 is a wasteful number, since it uses less digits than its factorization.

188480671141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142613 (or 142606 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 49.

The spelling of 188480671141 in words is "one hundred eighty-eight billion, four hundred eighty million, six hundred seventy-one thousand, one hundred forty-one".

Divisors: 1 7 37 49 259 733 1813 5131 27121 35917 141829 189847 992803 1328929 5247673 6949621 36733711 103960657 257135977 727724599 3846544309 5094072193 26925810163 188480671141