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235381696478208 = 210337437472039
BaseRepresentation
bin110101100001010000010010…
…011001111011110000000000
31010212102021022010201001211000
4311201100102121323300000
5221322443203244300313
62152340505241252000
7100402523603220000
oct6541202231736000
91125367263631730
10235381696478208
1168aaa8a9301445
1222496671a94000
13a14552503b347
14421a76ba80000
151c32c41122673
hexd6141267bc00

235381696478208 has 1760 divisors, whose sum is σ = 853386845644800. Its totient is φ = 64010666409984.

The previous prime is 235381696478189. The next prime is 235381696478237. The reversal of 235381696478208 is 802874696183532.

235381696478208 is a `hidden beast` number, since 2 + 3 + 5 + 38 + 16 + 96 + 478 + 20 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 159 ways as a sum of consecutive naturals, for example, 115439771653 + ... + 115439773691.

It is a 1-persistent number, because it is pandigital, but 2⋅235381696478208 = 470763392956416 is not.

Almost surely, 2235381696478208 is an apocalyptic number.

235381696478208 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 235381696478208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426693422822400).

235381696478208 is an abundant number, since it is smaller than the sum of its proper divisors (618005149166592).

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

235381696478208 is an equidigital number, since it uses as much as digits as its factorization.

235381696478208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 235381696478208 in words is "two hundred thirty-five trillion, three hundred eighty-one billion, six hundred ninety-six million, four hundred seventy-eight thousand, two hundred eight".