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20314171521 = 34725118209
BaseRepresentation
bin10010111010110100…
…011010100010000001
31221102201200211120000
4102322310122202001
5313100411442041
613155431110213
71316255415600
oct227264324201
957381624500
1020314171521
118684902806
123b2b212369
131bb97c7c47
14da9d07a37
157dd628bb6
hex4bad1a881

20314171521 has 30 divisors (see below), whose sum is σ = 35300294370. Its totient is φ = 11608095744.

The previous prime is 20314171489. The next prime is 20314171547. The reversal of 20314171521 is 12517141302.

20314171521 is a `hidden beast` number, since 2 + 0 + 31 + 41 + 71 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20272064400 + 42107121 = 142380^2 + 6489^2 .

It is not a de Polignac number, because 20314171521 - 25 = 20314171489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20314171321) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2555136 + ... + 2563073.

It is an arithmetic number, because the mean of its divisors is an integer number (1176676479).

Almost surely, 220314171521 is an apocalyptic number.

20314171521 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20314171521 is a deficient number, since it is larger than the sum of its proper divisors (14986122849).

20314171521 is an equidigital number, since it uses as much as digits as its factorization.

20314171521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118235 (or 5118219 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 20314171521 in words is "twenty billion, three hundred fourteen million, one hundred seventy-one thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 5118209 15354627 35827463 46063881 107482389 138191643 250792241 322447167 414574929 752376723 967341501 2257130169 2902024503 6771390507 20314171521