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231978356946432 = 293629971092027
BaseRepresentation
bin110100101111101110101011…
…100011111011011000000000
31010102100220200112221122000000
4310233232223203323120000
5220401213133334241212
62141213215212000000
766601611640421415
oct6457565343733000
91112326615848000
10231978356946432
1167a08517918758
1222026b62460000
139c59608059405
14413db5327810c
151bc4451c241dc
hexd2fbab8fb600

231978356946432 has 1120 divisors, whose sum is σ = 733337277472800. Its totient is φ = 73176004952064.

The previous prime is 231978356946431. The next prime is 231978356946437. The reversal of 231978356946432 is 234649653879132.

It is a happy number.

231978356946432 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 7 + 83 + 56 + 9 + 464 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231978356946431) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 114444181003 + ... + 114444183029.

It is an arithmetic number, because the mean of its divisors is an integer number (654765426315).

Almost surely, 2231978356946432 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 231978356946432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366668638736400).

231978356946432 is an abundant number, since it is smaller than the sum of its proper divisors (501358920526368).

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

231978356946432 is an equidigital number, since it uses as much as digits as its factorization.

231978356946432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2267 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 72.

The spelling of 231978356946432 in words is "two hundred thirty-one trillion, nine hundred seventy-eight billion, three hundred fifty-six million, nine hundred forty-six thousand, four hundred thirty-two".