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235545416223561 = 321714557105757541
BaseRepresentation
bin110101100011101000110000…
…110111001100101101001001
31010212222220220001021212011100
4311203220300313030231021
5221333134003023123221
62152544023111452013
7100420410665125563
oct6543506067145511
91125886801255140
10235545416223561
1169063282890314
1222502343387009
13a157ab6b23102
14422465d5d4333
151c37124426926
hexd63a30dccb49

235545416223561 has 24 divisors (see below), whose sum is σ = 360270681366024. Its totient is φ = 147783048215040.

The previous prime is 235545416223457. The next prime is 235545416223587. The reversal of 235545416223561 is 165322614545532.

It is a happy number.

235545416223561 is a `hidden beast` number, since 2 + 3 + 5 + 5 + 4 + 5 + 4 + 1 + 622 + 3 + 5 + 6 + 1 = 666.

235545416223561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2665608063561 + 232879808160000 = 1632669^2 + 15260400^2 .

It is not a de Polignac number, because 235545416223561 - 27 = 235545416223433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 235545416223498 and 235545416223507.

It is not an unprimeable number, because it can be changed into a prime (235545416223361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50651550 + ... + 55105991.

It is an arithmetic number, because the mean of its divisors is an integer number (15011278390251).

Almost surely, 2235545416223561 is an apocalyptic number.

It is an amenable number.

235545416223561 is a deficient number, since it is larger than the sum of its proper divisors (124725265142463).

235545416223561 is a wasteful number, since it uses less digits than its factorization.

235545416223561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105772121 (or 105772118 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 235545416223561 in words is "two hundred thirty-five trillion, five hundred forty-five billion, four hundred sixteen million, two hundred twenty-three thousand, five hundred sixty-one".

Divisors: 1 3 9 17 51 153 14557 43671 131013 247469 742407 2227221 105757541 317272623 951817869 1797878197 5393634591 16180903773 1539512524337 4618537573011 13855612719033 26171712913729 78515138741187 235545416223561