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135498645369 = 3319416919323
BaseRepresentation
bin111111000110001011…
…0010011111101111001
3110221202010121101001000
41332030112103331321
54210000123122434
6142125222115213
712534532324263
oct1761426237571
9427663541030
10135498645369
11525124a884a
122231627bb09
13ca15132a49
1467b588cb33
1537d0966b99
hex1f8c593f79

135498645369 has 64 divisors (see below), whose sum is σ = 216794188800. Its totient is φ = 83361052800.

The previous prime is 135498645361. The next prime is 135498645383. The reversal of 135498645369 is 963546894531.

135498645369 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 98 + 6 + 4 + 536 + 9 = 666.

It is not a de Polignac number, because 135498645369 - 23 = 135498645361 is a prime.

It is a super-2 number, since 2×1354986453692 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135498645361) 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 63 ways as a sum of consecutive naturals, for example, 14529142 + ... + 14538464.

It is an arithmetic number, because the mean of its divisors is an integer number (3387409200).

Almost surely, 2135498645369 is an apocalyptic number.

135498645369 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

135498645369 is a deficient number, since it is larger than the sum of its proper divisors (81295543431).

135498645369 is a wasteful number, since it uses less digits than its factorization.

135498645369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083 (or 10077 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 135498645369 in words is "one hundred thirty-five billion, four hundred ninety-eight million, six hundred forty-five thousand, three hundred sixty-nine".

Divisors: 1 3 9 19 27 41 57 123 171 369 513 691 779 1107 2073 2337 6219 7011 9323 13129 18657 21033 27969 28331 39387 83907 84993 118161 177137 251721 254979 354483 382243 531411 538289 764937 1146729 1594233 1614867 3440187 4782699 4844601 6442193 7262617 10320561 14533803 19326579 21787851 57979737 65363553 122401667 173939211 196090659 264129913 367205001 792389739 1101615003 2377169217 3304845009 5018468347 7131507651 15055405041 45166215123 135498645369