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189678943955232 = 2535376112238837
BaseRepresentation
bin101011001000001100010010…
…000100110110100100100000
3220212121010111201210212200000
4223020030102010312210200
5144330144434123031412
61511225145351100000
754644565024405114
oct5310142204664440
9825533451725600
10189678943955232
115548a42aa40a46
1219335072671600
1381ab855bc9394
1434ba71d131744
1516ddeb816e4dc
hexac8312136920

189678943955232 has 576 divisors, whose sum is σ = 584457093851904. Its totient is φ = 60452694282240.

The previous prime is 189678943955203. The next prime is 189678943955233. The reversal of 189678943955232 is 232559349876981.

189678943955232 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 7 + 89 + 4 + 3 + 9 + 5 + 523 + 2 = 666.

189678943955232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (189678943955233) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21464173918 + ... + 21464182754.

It is an arithmetic number, because the mean of its divisors is an integer number (1014682454604).

Almost surely, 2189678943955232 is an apocalyptic number.

189678943955232 is a gapful number since it is divisible by the number (12) 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 189678943955232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292228546925952).

189678943955232 is an abundant number, since it is smaller than the sum of its proper divisors (394778149896672).

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

189678943955232 is a wasteful number, since it uses less digits than its factorization.

189678943955232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10183 (or 10163 counting only the distinct ones).

The product of its digits is 7054387200, while the sum is 81.

The spelling of 189678943955232 in words is "one hundred eighty-nine trillion, six hundred seventy-eight billion, nine hundred forty-three million, nine hundred fifty-five thousand, two hundred thirty-two".