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235378805043600 = 243252241210612
BaseRepresentation
bin110101100001001101100110…
…000011111111000110010000
31010212101222211121221222012100
4311201031212003333012100
5221322421243042343400
62152335310312000400
7100402362133352331
oct6541154603770620
91125358747858170
10235378805043600
1168aa9655152869
1222495ba5690100
13a145183ca91aa
14421a575a58288
151c32b22376100
hexd613660ff190

235378805043600 has 405 divisors, whose sum is σ = 821007039808137. Its totient is φ = 62448321024000.

The previous prime is 235378805043581. The next prime is 235378805043617. The reversal of 235378805043600 is 6340508873532.

It is a happy number.

The square root of 235378805043600 is 15342060.

It is a perfect power (a square), and thus also a powerful number.

235378805043600 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 78 + 8 + 0 + 504 + 3 + 60 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 54456075678096 + 180922729365504 = 7379436^2 + 13450752^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 221846187070 + ... + 221846188130.

Almost surely, 2235378805043600 is an apocalyptic number.

235378805043600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

235378805043600 is the 15342060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235378805043600

235378805043600 is an abundant number, since it is smaller than the sum of its proper divisors (585628234764537).

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

235378805043600 is an equidigital number, since it uses as much as digits as its factorization.

235378805043600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 235378805043600 in words is "two hundred thirty-five trillion, three hundred seventy-eight billion, eight hundred five million, forty-three thousand, six hundred".