Search a number
-
+
238635896832 = 21232171931973
BaseRepresentation
bin1101111000111111001…
…1101101000000000000
3211210221221112121020100
43132033303231000000
512402211242144312
6301343335242400
723145422440434
oct3361763550000
9753857477210
10238635896832
1192228819353
123a2ba819400
13196708b0ca8
14b79b4429c4
15631a3075dc
hex378fced000

238635896832 has 312 divisors, whose sum is σ = 734009467464. Its totient is φ = 74440507392.

The previous prime is 238635896773. The next prime is 238635896843. The reversal of 238635896832 is 238698536832.

It can be written as a sum of positive squares in 4 ways, for example, as 15005270016 + 223630626816 = 122496^2 + 472896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 238635896832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120949798 + ... + 120951770.

It is an arithmetic number, because the mean of its divisors is an integer number (2352594447).

Almost surely, 2238635896832 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 238635896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367004733732).

238635896832 is an abundant number, since it is smaller than the sum of its proper divisors (495373570632).

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

238635896832 is a wasteful number, since it uses less digits than its factorization.

238635896832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2188 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 238635896832 in words is "two hundred thirty-eight billion, six hundred thirty-five million, eight hundred ninety-six thousand, eight hundred thirty-two".