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231464287680 = 26355923317539
BaseRepresentation
bin1101011110010001011…
…0001011110111000000
3211010110010220002221120
43113210112023313000
512243014324201210
6254155550552240
722502620661103
oct3274426136700
9733403802846
10231464287680
118a18861323a
1238a38b08680
1318a99b81492
14b2babb473a
15604a8e1270
hex35e458bdc0

231464287680 has 224 divisors, whose sum is σ = 750605356800. Its totient is φ = 60413779968.

The previous prime is 231464287643. The next prime is 231464287711. The reversal of 231464287680 is 86782464132.

231464287680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 13188351 + ... + 13205889.

Almost surely, 2231464287680 is an apocalyptic number.

231464287680 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 231464287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375302678400).

231464287680 is an abundant number, since it is smaller than the sum of its proper divisors (519141069120).

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

231464287680 is a wasteful number, since it uses less digits than its factorization.

231464287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17851 (or 17841 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 231464287680 in words is "two hundred thirty-one billion, four hundred sixty-four million, two hundred eighty-seven thousand, six hundred eighty".