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235002350513 = 727365698169
BaseRepresentation
bin1101101011011100111…
…0110100101110110001
3211110120201101022201202
43122313032310232301
512322241100204023
6255543015540545
722656402010100
oct3326716645661
9743521338652
10235002350513
1190733778207
123966598a755
1319211b86998
14b534a40037
1561a631b128
hex36b73b4bb1

235002350513 has 12 divisors (see below), whose sum is σ = 277114881060. Its totient is φ = 198671260032.

The previous prime is 235002350501. The next prime is 235002350551. The reversal of 235002350513 is 315053200532.

It can be written as a sum of positive squares in 2 ways, for example, as 184703971984 + 50298378529 = 429772^2 + 224273^2 .

It is not a de Polignac number, because 235002350513 - 28 = 235002350257 is a prime.

It is a super-2 number, since 2×2350023505132 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (235002350113) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32845508 + ... + 32852661.

It is an arithmetic number, because the mean of its divisors is an integer number (23092906755).

Almost surely, 2235002350513 is an apocalyptic number.

It is an amenable number.

235002350513 is a deficient number, since it is larger than the sum of its proper divisors (42112530547).

235002350513 is an equidigital number, since it uses as much as digits as its factorization.

235002350513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65698256 (or 65698249 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

The spelling of 235002350513 in words is "two hundred thirty-five billion, two million, three hundred fifty thousand, five hundred thirteen".

Divisors: 1 7 49 73 511 3577 65698169 459887183 3219210281 4795966337 33571764359 235002350513