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231978226371840 = 28355131931257379
BaseRepresentation
bin110100101111101110100011…
…110001110100110100000000
31010102100220100110020202100000
4310233232203301310310000
5220401212401422344330
62141213154225200000
766601605463515444
oct6457564361646400
91112326313222300
10231978226371840
1167a08460144073
1222026b26790000
139c595b6c9c240
14413db3dba8824
151bc4445530560
hexd2fba3c74d00

231978226371840 has 3456 divisors, whose sum is σ = 980358336921600. Its totient is φ = 52010585948160.

The previous prime is 231978226371839. The next prime is 231978226371869. The reversal of 231978226371840 is 48173622879132.

It is a happy number.

231978226371840 is a `hidden beast` number, since 2 + 3 + 1 + 97 + 82 + 26 + 371 + 84 + 0 = 666.

231978226371840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 612079752771 + ... + 612079753149.

Almost surely, 2231978226371840 is an apocalyptic number.

231978226371840 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 231978226371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490179168460800).

231978226371840 is an abundant number, since it is smaller than the sum of its proper divisors (748380110549760).

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

231978226371840 is a wasteful number, since it uses less digits than its factorization.

231978226371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 231978226371840 in words is "two hundred thirty-one trillion, nine hundred seventy-eight billion, two hundred twenty-six million, three hundred seventy-one thousand, eight hundred forty".