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238560681112 = 231337439141221
BaseRepresentation
bin1101111000101101010…
…0110001110010011000
3211210202201000020122221
43132023110301302120
512402033013243422
6301332051153424
723143520221555
oct3361324616230
9753681006587
10238560681112
119219a3156a6
123a2995a5874
131965b137450
14b791463a2c
1563138eb3c7
hex378b531c98

238560681112 has 64 divisors (see below), whose sum is σ = 495858686400. Its totient is φ = 106884334080.

The previous prime is 238560681089. The next prime is 238560681157. The reversal of 238560681112 is 211186065832.

238560681112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2385606811122 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1618662 + ... + 1759882.

It is an arithmetic number, because the mean of its divisors is an integer number (7747791975).

Almost surely, 2238560681112 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 238560681112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247929343200).

238560681112 is an abundant number, since it is smaller than the sum of its proper divisors (257298005288).

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

238560681112 is a wasteful number, since it uses less digits than its factorization.

238560681112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141716 (or 141712 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 238560681112 in words is "two hundred thirty-eight billion, five hundred sixty million, six hundred eighty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 439 481 878 962 1756 1924 3512 3848 5707 11414 16243 22828 32486 45656 64972 129944 141221 211159 282442 422318 564884 844636 1129768 1689272 1835873 3671746 5225177 7343492 10450354 14686984 20900708 41801416 61996019 67927301 123992038 135854602 247984076 271709204 495968152 543418408 805948247 1611896494 2293852703 3223792988 4587705406 6447585976 9175410812 18350821624 29820085139 59640170278 119280340556 238560681112