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12530413665 = 345711401809
BaseRepresentation
bin10111010101101111…
…01111000001100001
31012100021011222010000
423222313233001201
5201130241214130
65431214130213
7622341521160
oct135267570141
935307158100
1012530413665
115350101280
1225184b0969
131249007c73
1486c24d3d7
154d50e5260
hex2eadef061

12530413665 has 80 divisors (see below), whose sum is σ = 28004549760. Its totient is φ = 5207431680.

The previous prime is 12530413627. The next prime is 12530413691. The reversal of 12530413665 is 56631403521.

12530413665 is a `hidden beast` number, since 1 + 253 + 0 + 41 + 366 + 5 = 666.

It is not a de Polignac number, because 12530413665 - 211 = 12530411617 is a prime.

It is a super-2 number, since 2×125304136652 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169720 + ... + 232089.

It is an arithmetic number, because the mean of its divisors is an integer number (350056872).

Almost surely, 212530413665 is an apocalyptic number.

12530413665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12530413665 is an abundant number, since it is smaller than the sum of its proper divisors (15474136095).

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

12530413665 is a wasteful number, since it uses less digits than its factorization.

12530413665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401844 (or 401835 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 12530413665 in words is "twelve billion, five hundred thirty million, four hundred thirteen thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 81 99 105 135 165 189 231 297 315 385 405 495 567 693 891 945 1155 1485 2079 2835 3465 4455 6237 10395 31185 401809 1205427 2009045 2812663 3616281 4419899 6027135 8437989 10848843 13259697 14063315 18081405 22099495 25313967 30939293 32546529 39779091 42189945 54244215 66298485 75941901 92817879 119337273 126569835 154696465 162732645 198895455 227825703 278453637 358011819 379709505 464089395 596686365 835360911 1139128515 1392268185 1790059095 2506082733 4176804555 12530413665