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20314764148545 = 3251753501042401
BaseRepresentation
bin1001001111001111001100…
…10011001111111101000001
32122221001221211201222201100
410213213212103033331001
510130314114110223140
6111112250202125013
74164456536110146
oct447474623177501
978831854658640
1020314764148545
116522496836699
1223411794b0769
13b4489bb30bc9
1450335014c3cd
152536787bc530
hex1279e64cff41

20314764148545 has 48 divisors (see below), whose sum is σ = 37987030750032. Its totient is φ = 10004814643200.

The previous prime is 20314764148531. The next prime is 20314764148573. The reversal of 20314764148545 is 54584146741302.

20314764148545 is a `hidden beast` number, since 2 + 0 + 3 + 14 + 7 + 6 + 41 + 48 + 545 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 227220008976 + 20087544139569 = 476676^2 + 4481913^2 .

It is not a de Polignac number, because 20314764148545 - 215 = 20314764115777 is a prime.

It is a super-2 number, since 2×203147641485452 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20314764148491 and 20314764148500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250480656 + ... + 250561745.

It is an arithmetic number, because the mean of its divisors is an integer number (791396473959).

Almost surely, 220314764148545 is an apocalyptic number.

It is an amenable number.

20314764148545 is a deficient number, since it is larger than the sum of its proper divisors (17672266601487).

20314764148545 is a wasteful number, since it uses less digits than its factorization.

20314764148545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501042482 (or 501042479 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 20314764148545 in words is "twenty trillion, three hundred fourteen billion, seven hundred sixty-four million, one hundred forty-eight thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 53 85 153 159 255 265 477 765 795 901 2385 2703 4505 8109 13515 40545 501042401 1503127203 2505212005 4509381609 7515636015 8517720817 22546908045 25553162451 26555247253 42588604085 76659487353 79665741759 127765812255 132776236265 238997225277 383297436765 398328708795 451439203301 1194986126385 1354317609903 2257196016505 4062952829709 6771588049515 20314764148545