Search a number
-
+
14785521975 = 3352711032837
BaseRepresentation
bin11011100010100100…
…10010100100110111
31102011102120100011000
431301102102210313
5220240043200400
610443053014343
71032253602030
oct156122224467
942142510130
1014785521975
1162a8050554
122a477843b3
131518292b93
14a03953a87
155b809a600
hex371492937

14785521975 has 96 divisors (see below), whose sum is σ = 31080867840. Its totient is φ = 6750587520.

The previous prime is 14785521841. The next prime is 14785521997. The reversal of 14785521975 is 57912558741.

14785521975 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 552 + 19 + 75 = 666.

14785521975 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14785521975 - 28 = 14785521719 is a prime.

It is a super-2 number, since 2×147855219752 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5210257 + ... + 5213093.

It is an arithmetic number, because the mean of its divisors is an integer number (323759040).

Almost surely, 214785521975 is an apocalyptic number.

14785521975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14785521975 is an abundant number, since it is smaller than the sum of its proper divisors (16295345865).

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

14785521975 is a wasteful number, since it uses less digits than its factorization.

14785521975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3955 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 54.

The spelling of 14785521975 in words is "fourteen billion, seven hundred eighty-five million, five hundred twenty-one thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1103 1575 2837 3309 4725 5515 7721 8511 9927 14185 16545 19859 23163 25533 27575 29781 38605 42555 49635 59577 69489 70925 76599 82725 99295 115815 127665 148905 178731 193025 208467 212775 248175 297885 347445 382995 496475 536193 579075 638325 744525 893655 1042335 1489425 1737225 1914975 2680965 3129211 4468275 5211675 9387633 13404825 15646055 21904477 28162899 46938165 65713431 78230275 84488697 109522385 140814495 197140293 234690825 328567155 422443485 547611925 591420879 704072475 985701465 1642835775 2112217425 2957104395 4928507325 14785521975