Search a number
-
+
71813258131168 = 254154735715039
BaseRepresentation
bin10000010101000001010011…
…101111011011011011100000
3100102021021120102200210010101
4100111001103233123123200
533403042023040144133
6412422315542112144
721061223324320531
oct2025012357333340
9312237512623111
1071813258131168
1120977917057a04
128079a82a1b654
13310bc6594c328
1413a3accd94688
1584806348e37d
hex415053bdb6e0

71813258131168 has 24 divisors (see below), whose sum is σ = 144830701995840. Its totient is φ = 35030857624320.

The previous prime is 71813258131163. The next prime is 71813258131211. The reversal of 71813258131168 is 86113185231817.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71813258131163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27367856208 + ... + 27367858831.

It is an arithmetic number, because the mean of its divisors is an integer number (6034612583160).

Almost surely, 271813258131168 is an apocalyptic number.

It is an amenable number.

71813258131168 is an abundant number, since it is smaller than the sum of its proper divisors (73017443864672).

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

71813258131168 is a wasteful number, since it uses less digits than its factorization.

71813258131168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54735715090 (or 54735715082 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 55.

The spelling of 71813258131168 in words is "seventy-one trillion, eight hundred thirteen billion, two hundred fifty-eight million, one hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 54735715039 109471430078 218942860156 437885720312 875771440624 1751542881248 2244164316599 4488328633198 8976657266396 17953314532792 35906629065584 71813258131168