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235820455964568 = 233231105654326149
BaseRepresentation
bin110101100111101000111010…
…100000100010111110011000
31010220222012211001002100111200
4311213220322200202332120
5221402140243211331233
62153314231043554200
7100446315510265656
oct6547507240427630
91126865731070450
10235820455964568
11691599916245a2
122254770168b960
13a177a097211a7
144233ab1775dd6
151c3e370663313
hexd67a3a822f98

235820455964568 has 48 divisors (see below), whose sum is σ = 659282995176000. Its totient is φ = 76071114826560.

The previous prime is 235820455964567. The next prime is 235820455964579. The reversal of 235820455964568 is 865469554028532.

235820455964568 is a `hidden beast` number, since 2 + 3 + 5 + 8 + 2 + 0 + 4 + 5 + 59 + 6 + 4 + 568 = 666.

235820455964568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2358204559645682 (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 235820455964496 and 235820455964505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235820455964567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52827160843 + ... + 52827165306.

It is an arithmetic number, because the mean of its divisors is an integer number (13735062399500).

Almost surely, 2235820455964568 is an apocalyptic number.

It is an amenable number.

235820455964568 is an abundant number, since it is smaller than the sum of its proper divisors (423462539211432).

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

235820455964568 is a wasteful number, since it uses less digits than its factorization.

235820455964568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105654326192 (or 105654326185 counting only the distinct ones).

The product of its (nonzero) digits is 2488320000, while the sum is 72.

The spelling of 235820455964568 in words is "two hundred thirty-five trillion, eight hundred twenty billion, four hundred fifty-five million, nine hundred sixty-four thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 105654326149 211308652298 316962978447 422617304596 633925956894 845234609192 950888935341 1267851913788 1901777870682 2535703827576 3275284110619 3803555741364 6550568221238 7607111482728 9825852331857 13101136442476 19651704663714 26202272884952 29477556995571 39303409327428 58955113991142 78606818654856 117910227982284 235820455964568