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115271981748 = 223271141584409
BaseRepresentation
bin110101101011010111…
…1101101101010110100
3102000112111120101202100
41223112233231222310
53342034111403443
6124542154342100
711220355451430
oct1532657555264
9360474511670
10115271981748
1144983035020
121a41042a930
13ab407c6631
1458174439c0
152ee9d763d3
hex1ad6bedab4

115271981748 has 72 divisors (see below), whose sum is σ = 363281405760. Its totient is φ = 29940773760.

The previous prime is 115271981743. The next prime is 115271981789. The reversal of 115271981748 is 847189172511.

It is a happy number.

115271981748 is a `hidden beast` number, since 11 + 527 + 1 + 98 + 17 + 4 + 8 = 666.

It is a super-2 number, since 2×1152719817482 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 115271981694 and 115271981703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115271981743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20789433 + ... + 20794976.

It is an arithmetic number, because the mean of its divisors is an integer number (5045575080).

Almost surely, 2115271981748 is an apocalyptic number.

115271981748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

115271981748 is an abundant number, since it is smaller than the sum of its proper divisors (248009424012).

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

115271981748 is a wasteful number, since it uses less digits than its factorization.

115271981748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41584437 (or 41584432 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 54.

The spelling of 115271981748 in words is "one hundred fifteen billion, two hundred seventy-one million, nine hundred eighty-one thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 41584409 83168818 124753227 166337636 249506454 291090863 374259681 457428499 499012908 582181726 748519362 873272589 914856998 1164363452 1372285497 1497038724 1746545178 1829713996 2619817767 2744570994 3201999493 3493090356 4116856491 5239635534 5489141988 6403998986 8233712982 9605998479 10479271068 12807997972 16467425964 19211996958 28817995437 38423993916 57635990874 115271981748