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231318255168 = 2637711132127
BaseRepresentation
bin1101011101101110100…
…1000111011001000000
3211010001222002220000000
43113123221013121000
512242214433131133
6254133253000000
722466165504250
oct3273351073100
9733058086000
10231318255168
118a113140910
12389b8023000
1318a75841400
14b2a563d960
15603cb97413
hex35dba47640

231318255168 has 1344 divisors, whose sum is σ = 936720138240. Its totient is φ = 55024220160.

The previous prime is 231318255149. The next prime is 231318255197. The reversal of 231318255168 is 861552813132.

231318255168 is a `hidden beast` number, since 2 + 3 + 1 + 31 + 8 + 2 + 551 + 68 = 666.

231318255168 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 (1344).

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 191 ways as a sum of consecutive naturals, for example, 1821403521 + ... + 1821403647.

Almost surely, 2231318255168 is an apocalyptic number.

231318255168 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 231318255168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468360069120).

231318255168 is an abundant number, since it is smaller than the sum of its proper divisors (705401883072).

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

231318255168 is a wasteful number, since it uses less digits than its factorization.

231318255168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 163 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 231318255168 in words is "two hundred thirty-one billion, three hundred eighteen million, two hundred fifty-five thousand, one hundred sixty-eight".