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115391831559481 = 109213927092
BaseRepresentation
bin11010001111001011000001…
…001000010100110100111001
3120010120100111010212111200001
4122033023001020110310321
5110111034432334400411
61045230135310313001
733206533104550441
oct3217130110246471
9503510433774601
10115391831559481
1133849445724864
1210b37862ab8761
134c505315a63a9
14206cdcca97121
15d5191665ddc1
hex68f2c1214d39

115391831559481 has 27 divisors (see below), whose sum is σ = 117469738581741. Its totient is φ = 113350550313888.

The previous prime is 115391831559479. The next prime is 115391831559553. The reversal of 115391831559481 is 184955138193511.

It is a happy number.

The square root of 115391831559481 is 10742059.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4965360999481 + 110426470560000 = 2228309^2 + 10508400^2 .

It is not a de Polignac number, because 115391831559481 - 21 = 115391831559479 is a prime.

It is a super-2 number, since 2×1153918315594812 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115391831559281) 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, 162752935555 + ... + 162752936263.

It is an arithmetic number, because the mean of its divisors is an integer number (4350731058583).

Almost surely, 2115391831559481 is an apocalyptic number.

115391831559481 is the 10742059-th square number.

115391831559481 is the 5371030-th centered octagonal number.

It is an amenable number.

115391831559481 is a deficient number, since it is larger than the sum of its proper divisors (2077907022260).

115391831559481 is an frugal number, since it uses more digits than its factorization.

115391831559481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 957 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 64.

The spelling of 115391831559481 in words is "one hundred fifteen trillion, three hundred ninety-one billion, eight hundred thirty-one million, five hundred fifty-nine thousand, four hundred eighty-one".

Divisors: 1 109 139 709 11881 15151 19321 77281 98551 502681 1651459 2105989 8423629 10742059 13698589 54792229 69872659 229552801 1170884431 1493146201 5972352961 7616119831 9712299601 162752935909 830157061579 1058640656509 115391831559481