Search a number
-
+
115995162751104 = 273713173110957787
BaseRepresentation
bin11010010111111100111010…
…011110001011000010000000
3120012201000210022221121222210
4122113330322132023002000
5110200431043131013404
61050411235255502120
733301242160221420
oct3227747236130200
9505630708847883
10115995162751104
1133a612aa42698a
1211014781387940
134c953b24173b0
1420902a5516480
15d62478b91689
hex697f3a78b080

115995162751104 has 1024 divisors, whose sum is σ = 418283782963200. Its totient is φ = 27607691427840.

The previous prime is 115995162751067. The next prime is 115995162751129. The reversal of 115995162751104 is 401157261599511.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2007259299 + ... + 2007317085.

It is an arithmetic number, because the mean of its divisors is an integer number (408480256800).

Almost surely, 2115995162751104 is an apocalyptic number.

115995162751104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115995162751104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209141891481600).

115995162751104 is an abundant number, since it is smaller than the sum of its proper divisors (302288620212096).

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

115995162751104 is a wasteful number, since it uses less digits than its factorization.

115995162751104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57981 (or 57969 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 57.

The spelling of 115995162751104 in words is "one hundred fifteen trillion, nine hundred ninety-five billion, one hundred sixty-two million, seven hundred fifty-one thousand, one hundred four".