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238968071160 = 233571324190803
BaseRepresentation
bin1101111010001110011…
…0110110001111111000
3211211211002120210202020
43132203212312033320
512403401311234120
6301440323034440
723156565042630
oct3364346661770
9754732523666
10238968071160
1192389278895
123a391b0ba20
13196c4665650
14b7cd5cd6c0
15633956e640
hex37a39b63f8

238968071160 has 256 divisors, whose sum is σ = 886014581760. Its totient is φ = 50209873920.

The previous prime is 238968071093. The next prime is 238968071161. The reversal of 238968071160 is 61170869832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238968071161) 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 63 ways as a sum of consecutive naturals, for example, 2586319 + ... + 2677121.

It is an arithmetic number, because the mean of its divisors is an integer number (3460994460).

Almost surely, 2238968071160 is an apocalyptic number.

238968071160 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 238968071160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443007290880).

238968071160 is an abundant number, since it is smaller than the sum of its proper divisors (647046510600).

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

238968071160 is a wasteful number, since it uses less digits than its factorization.

238968071160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91078 (or 91074 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 238968071160 in words is "two hundred thirty-eight billion, nine hundred sixty-eight million, seventy-one thousand, one hundred sixty".