Search a number
-
+
189143088512 = 27723311072767
BaseRepresentation
bin1011000000100111001…
…1100111110110000000
3200002012201002102210112
42300021303213312000
511044331112313022
6222520252450452
716444066503560
oct2601163476600
9602181072715
10189143088512
1173240384984
12307a7779a28
1314ab3c438b1
14922421ada0
154dc024b8e2
hex2c09ce7d80

189143088512 has 256 divisors, whose sum is σ = 468361543680. Its totient is φ = 74307594240.

The previous prime is 189143088479. The next prime is 189143088517. The reversal of 189143088512 is 215880341981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189143088517) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 68355353 + ... + 68358119.

It is an arithmetic number, because the mean of its divisors is an integer number (1829537280).

Almost surely, 2189143088512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189143088512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234180771840).

189143088512 is an abundant number, since it is smaller than the sum of its proper divisors (279218455168).

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

189143088512 is a wasteful number, since it uses less digits than its factorization.

189143088512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 50.

The spelling of 189143088512 in words is "one hundred eighty-nine billion, one hundred forty-three million, eighty-eight thousand, five hundred twelve".