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20285712304 = 24111333726309
BaseRepresentation
bin10010111001000111…
…110110011110110000
31221100202010221211221
4102321013312132300
5313021120243204
613152533114424
71315461465244
oct227107663660
957322127757
1020285712304
11866a8349a0
123b21788a14
131bb3942380
14da621a424
157dada6654
hex4b91f67b0

20285712304 has 80 divisors (see below), whose sum is σ = 46313598240. Its totient is φ = 8485908480.

The previous prime is 20285712283. The next prime is 20285712329. The reversal of 20285712304 is 40321758202.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20285712304.

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 15 ways as a sum of consecutive naturals, for example, 757902 + ... + 784210.

It is an arithmetic number, because the mean of its divisors is an integer number (578919978).

Almost surely, 220285712304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20285712304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23156799120).

20285712304 is an abundant number, since it is smaller than the sum of its proper divisors (26027885936).

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

20285712304 is a wasteful number, since it uses less digits than its factorization.

20285712304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26678 (or 26672 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

It can be divided in two parts, 20285712 and 304, that added together give a square (20286016 = 45042).

The spelling of 20285712304 in words is "twenty billion, two hundred eighty-five million, seven hundred twelve thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 337 572 674 1144 1348 2288 2696 3707 4381 5392 7414 8762 14828 17524 26309 29656 35048 48191 52618 59312 70096 96382 105236 192764 210472 289399 342017 385528 420944 578798 684034 771056 1157596 1368068 2315192 2736136 3762187 4630384 5472272 7524374 8866133 15048748 17732266 30097496 35464532 60194992 70929064 97527463 115259729 141858128 195054926 230519458 390109852 461038916 780219704 922077832 1267857019 1560439408 1844155664 2535714038 5071428076 10142856152 20285712304