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235454416345 = 51729101945733
BaseRepresentation
bin1101101101001000101…
…1010100010111011001
3211111202020000122110201
43123102023110113121
512324202312310340
6300055525142201
723003531342221
oct3332213242731
9744666018421
10235454416345
1190945974a35
123977125a961
1319284727a65
14b578ab9081
1561d0d6679a
hex36d22d45d9

235454416345 has 32 divisors (see below), whose sum is σ = 312546172320. Its totient is φ = 169475174400.

The previous prime is 235454416333. The next prime is 235454416499. The reversal of 235454416345 is 543614454532.

It can be written as a sum of positive squares in 16 ways, for example, as 32770774729 + 202683641616 = 181027^2 + 450204^2 .

It is not a de Polignac number, because 235454416345 - 27 = 235454416217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 235454416295 and 235454416304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223902 + ... + 721831.

It is an arithmetic number, because the mean of its divisors is an integer number (9767067885).

Almost surely, 2235454416345 is an apocalyptic number.

It is an amenable number.

235454416345 is a deficient number, since it is larger than the sum of its proper divisors (77091755975).

235454416345 is a wasteful number, since it uses less digits than its factorization.

235454416345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945885.

The product of its digits is 3456000, while the sum is 46.

The spelling of 235454416345 in words is "two hundred thirty-five billion, four hundred fifty-four million, four hundred sixteen thousand, three hundred forty-five".

Divisors: 1 5 17 29 85 101 145 493 505 1717 2465 2929 8585 14645 49793 248965 945733 4728665 16077461 27426257 80387305 95519033 137131285 466246369 477595165 1623823561 2331231845 2770051957 8119117805 13850259785 47090883269 235454416345