Search a number
-
+
115512089472 = 2733132197773
BaseRepresentation
bin110101110010100001…
…1101001101110000000
3102001011020101010122000
41223211003221232000
53343032043330342
6125022052544000
711226332363103
oct1534503515600
9361136333560
10115512089472
1144a9662155a
121a478922000
13ab7b484500
14583b2a673a
153010ea444c
hex1ae50e9b80

115512089472 has 192 divisors, whose sum is σ = 369164948400. Its totient is φ = 35542001664.

The previous prime is 115512089467. The next prime is 115512089489. The reversal of 115512089472 is 274980215511.

115512089472 is a `hidden beast` number, since 1 + 1 + 55 + 120 + 8 + 9 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485178 + ... + 682950.

Almost surely, 2115512089472 is an apocalyptic number.

115512089472 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 115512089472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184582474200).

115512089472 is an abundant number, since it is smaller than the sum of its proper divisors (253652858928).

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

115512089472 is a wasteful number, since it uses less digits than its factorization.

115512089472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197822 (or 197791 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 115512089472 in words is "one hundred fifteen billion, five hundred twelve million, eighty-nine thousand, four hundred seventy-two".