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235381808640 = 293511233229
BaseRepresentation
bin1101101100110111011…
…0010101111000000000
3211111120011101210102110
43123031312111320000
512324030220334030
6300044413015320
723001660235026
oct3331566257000
9744504353373
10235381808640
1190908992770
1239750a84540
1319272685314
14b56d1b8716
1561c97c31b0
hex36cdd95e00

235381808640 has 640 divisors, whose sum is σ = 861951974400. Its totient is φ = 54342942720.

The previous prime is 235381808633. The next prime is 235381808819. The reversal of 235381808640 is 46808183532.

235381808640 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 (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 235381808640.

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, 1027868046 + ... + 1027868274.

It is an arithmetic number, because the mean of its divisors is an integer number (1346799960).

Almost surely, 2235381808640 is an apocalyptic number.

235381808640 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 235381808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430975987200).

235381808640 is an abundant number, since it is smaller than the sum of its proper divisors (626570165760).

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

235381808640 is an equidigital number, since it uses as much as digits as its factorization.

235381808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 235381808640 in words is "two hundred thirty-five billion, three hundred eighty-one million, eight hundred eight thousand, six hundred forty".