Search a number
-
+
238901050080 = 25345711415839
BaseRepresentation
bin1101111001111110011…
…1001011101011100000
3211211122102110210010000
43132133213023223200
512403232132100310
6301425530340000
723155122264120
oct3363747135340
9754572423100
10238901050080
1192354461970
123a37358a600
13196b37ca9c4
14b7c4744c80
1563337314c0
hex379f9cbae0

238901050080 has 960 divisors, whose sum is σ = 1076987197440. Its totient is φ = 48422707200.

The previous prime is 238901050061. The next prime is 238901050081. The reversal of 238901050080 is 80050109832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238901050081) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 40911801 + ... + 40917639.

It is an arithmetic number, because the mean of its divisors is an integer number (1121861664).

Almost surely, 2238901050080 is an apocalyptic number.

238901050080 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 238901050080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538493598720).

238901050080 is an abundant number, since it is smaller than the sum of its proper divisors (838086147360).

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

238901050080 is a wasteful number, since it uses less digits than its factorization.

238901050080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 238901050080 in words is "two hundred thirty-eight billion, nine hundred one million, fifty thousand, eighty".