Search a number
-
+
118130583428352 = 283211191971245281
BaseRepresentation
bin11010110111000001101011…
…011101100101110100000000
3120111021011200110200122211200
4122313001223131211310000
5110440422413324201402
61055124235115541200
733611436660412545
oct3267015335456400
9514234613618750
10118130583428352
1134704998761950
12112ba5b945a800
1350bb8878b2c01
14212579d35abcc
15d9ccaa83421c
hex6b706b765d00

118130583428352 has 432 divisors, whose sum is σ = 393104843651520. Its totient is φ = 33740911411200.

The previous prime is 118130583428327. The next prime is 118130583428381. The reversal of 118130583428352 is 253824385031811.

118130583428352 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 3 + 0 + 583 + 4 + 2 + 8 + 3 + 52 = 666.

It is a super-2 number, since 2×1181305834283522 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 94239952 + ... + 95485232.

It is an arithmetic number, because the mean of its divisors is an integer number (909964915860).

Almost surely, 2118130583428352 is an apocalyptic number.

118130583428352 is a gapful number since it is divisible by the number (12) 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 118130583428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196552421825760).

118130583428352 is an abundant number, since it is smaller than the sum of its proper divisors (274974260223168).

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

118130583428352 is a wasteful number, since it uses less digits than its factorization.

118130583428352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245530 (or 1245513 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 118130583428352 in words is "one hundred eighteen trillion, one hundred thirty billion, five hundred eighty-three million, four hundred twenty-eight thousand, three hundred fifty-two".