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231650411328 = 263371719211281
BaseRepresentation
bin1101011110111101110…
…0001100001101000000
3211010221010010011121000
43113233130030031000
512243410001130303
6254230240132000
722510341002460
oct3275734141500
9733833104530
10231650411328
118a273688736
1238a8b307000
1318ac95ba70b
14b2d77c3ba0
15605be08da3
hex35ef70c340

231650411328 has 896 divisors, whose sum is σ = 874663833600. Its totient is φ = 58525286400.

The previous prime is 231650411327. The next prime is 231650411357. The reversal of 231650411328 is 823114056132.

231650411328 is a `hidden beast` number, since 2 + 3 + 16 + 504 + 1 + 132 + 8 = 666.

231650411328 is digitally balanced in base 2, 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 231650411292 and 231650411301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231650411327) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 824378548 + ... + 824378828.

Almost surely, 2231650411328 is an apocalyptic number.

231650411328 is a gapful number since it is divisible by the number (28) 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 231650411328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437331916800).

231650411328 is an abundant number, since it is smaller than the sum of its proper divisors (643013422272).

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

231650411328 is a wasteful number, since it uses less digits than its factorization.

231650411328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 231650411328 in words is "two hundred thirty-one billion, six hundred fifty million, four hundred eleven thousand, three hundred twenty-eight".