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231298784640 = 27325731129367
BaseRepresentation
bin1101011101101001111…
…0110101110110000000
3211010000121110200110100
43113122132311312000
512242144442102030
6254131315402400
722465541142000
oct3273236656600
9733017420410
10231298784640
118a103152370
12389b15b3400
1318a717b4ca1
14b2a2c12000
15603b0ed360
hex35da7b5d80

231298784640 has 1536 divisors, whose sum is σ = 1054010880000. Its totient is φ = 46278328320.

The previous prime is 231298784623. The next prime is 231298784657. The reversal of 231298784640 is 46487892132.

231298784640 is a `hidden beast` number, since 23 + 1 + 2 + 98 + 78 + 464 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (231298784623) and next prime (231298784657).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 630241737 + ... + 630242103.

It is an arithmetic number, because the mean of its divisors is an integer number (686205000).

Almost surely, 2231298784640 is an apocalyptic number.

231298784640 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 231298784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527005440000).

231298784640 is an abundant number, since it is smaller than the sum of its proper divisors (822712095360).

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

231298784640 is a wasteful number, since it uses less digits than its factorization.

231298784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 231298784640 in words is "two hundred thirty-one billion, two hundred ninety-eight million, seven hundred eighty-four thousand, six hundred forty".