Search a number
-
+
231689589120 = 273251117212653
BaseRepresentation
bin1101011111000111000…
…1101001000110000000
3211011000211211121102100
43113301301221012000
512244000013322440
6254234155550400
722511325004443
oct3276161510600
9734024747370
10231689589120
118a293807580
1238aa045b400
1318b04756c42
14b2dcaa165a
156060597230
hex35f1c69180

231689589120 has 576 divisors, whose sum is σ = 927218813040. Its totient is φ = 52859043840.

The previous prime is 231689589107. The next prime is 231689589163. The reversal of 231689589120 is 21985986132.

231689589120 is a `hidden beast` number, since 2 + 31 + 6 + 8 + 9 + 589 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 18304714 + ... + 18317366.

Almost surely, 2231689589120 is an apocalyptic number.

231689589120 is a gapful number since it is divisible by the number (20) 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 231689589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463609406520).

231689589120 is an abundant number, since it is smaller than the sum of its proper divisors (695529223920).

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

231689589120 is a wasteful number, since it uses less digits than its factorization.

231689589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12723 (or 12691 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 231689589120 in words is "two hundred thirty-one billion, six hundred eighty-nine million, five hundred eighty-nine thousand, one hundred twenty".