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231456935808 = 2733731595231
BaseRepresentation
bin1101011110001111101…
…0001000111110000000
3211010102122001121002000
43113203322020332000
512243010433421213
6254155125224000
722502501331060
oct3274372107600
9733378047060
10231456935808
118a18445170a
1238a36562000
1318a984a9067
14b2b9c1d3a0
156049e3cc73
hex35e3e88f80

231456935808 has 512 divisors, whose sum is σ = 819707904000. Its totient is φ = 62900582400.

The previous prime is 231456935789. The next prime is 231456935891. The reversal of 231456935808 is 808539654132.

231456935808 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 56 + 9 + 3 + 580 + 8 = 666.

231456935808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2314569358082 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 44244553 + ... + 44249783.

It is an arithmetic number, because the mean of its divisors is an integer number (1600992000).

Almost surely, 2231456935808 is an apocalyptic number.

231456935808 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 231456935808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409853952000).

231456935808 is an abundant number, since it is smaller than the sum of its proper divisors (588250968192).

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

231456935808 is a wasteful number, since it uses less digits than its factorization.

231456935808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5351 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 231456935808 in words is "two hundred thirty-one billion, four hundred fifty-six million, nine hundred thirty-five thousand, eight hundred eight".