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20319147585 = 32511405110133
BaseRepresentation
bin10010111011000111…
…011001011001000001
31221110002001122102200
4102323013121121001
5313103200210320
613200125503413
71316345622222
oct227307313101
957402048380
1020319147585
1186876a1360
123b30a11b69
131bba84ab69
14daa841249
157ddcad290
hex4bb1d9641

20319147585 has 48 divisors (see below), whose sum is σ = 38434938048. Its totient is φ = 9848304000.

The previous prime is 20319147559. The next prime is 20319147593. The reversal of 20319147585 is 58574191302.

20319147585 is a `hidden beast` number, since 20 + 3 + 1 + 9 + 1 + 47 + 585 = 666.

It is not a de Polignac number, because 20319147585 - 211 = 20319145537 is a prime.

It is a super-2 number, since 2×203191475852 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20319147585.

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 47 ways as a sum of consecutive naturals, for example, 2000179 + ... + 2010311.

It is an arithmetic number, because the mean of its divisors is an integer number (800727876).

Almost surely, 220319147585 is an apocalyptic number.

It is an amenable number.

20319147585 is a deficient number, since it is larger than the sum of its proper divisors (18115790463).

20319147585 is a wasteful number, since it uses less digits than its factorization.

20319147585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14206 (or 14203 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 20319147585 in words is "twenty billion, three hundred nineteen million, one hundred forty-seven thousand, five hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 4051 10133 12153 20255 30399 36459 44561 50665 60765 91197 111463 133683 151995 182295 222805 334389 401049 455985 557315 668415 1003167 1671945 2005245 5015835 41048783 123146349 205243915 369439047 451536613 615731745 1354609839 1847195235 2257683065 4063829517 6773049195 20319147585