Search a number
-
+
151375925194640 = 24517111305827349
BaseRepresentation
bin100010011010110011110100…
…001111111010111110010000
3201211222101201111110202112122
4202122303310033322332100
5124320120343322212030
61253541050124113412
743612356354013466
oct4232636417727620
9654871644422478
10151375925194640
11442621954569a3
1214b89803095868
1366608c4814913
1429548c34b6836
15127797dc238e5
hex89acf43faf90

151375925194640 has 40 divisors (see below), whose sum is σ = 372651909967800. Its totient is φ = 56988583602176.

The previous prime is 151375925194633. The next prime is 151375925194667. The reversal of 151375925194640 is 46491529573151.

It can be written as a sum of positive squares in 4 ways, for example, as 85829996744704 + 65545928449936 = 9264448^2 + 8096044^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55652912315 + ... + 55652915034.

It is an arithmetic number, because the mean of its divisors is an integer number (9316297749195).

Almost surely, 2151375925194640 is an apocalyptic number.

151375925194640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151375925194640 is an abundant number, since it is smaller than the sum of its proper divisors (221275984773160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151375925194640 is a wasteful number, since it uses less digits than its factorization.

151375925194640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111305827379 (or 111305827373 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 62.

The spelling of 151375925194640 in words is "one hundred fifty-one trillion, three hundred seventy-five billion, nine hundred twenty-five million, one hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 111305827349 222611654698 445223309396 556529136745 890446618792 1113058273490 1780893237584 1892199064933 2226116546980 3784398129866 4452233093960 7568796259732 8904466187920 9460995324665 15137592519464 18921990649330 30275185038928 37843981298660 75687962597320 151375925194640