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20564893200 = 24352172193121
BaseRepresentation
bin10011001001110000…
…110101111000010000
31222002012110211001010
4103021300311320100
5314104103040300
613240345010520
71325421464565
oct231160657020
958065424033
1020564893200
1187a3389705
123b9b183a40
131c29730c77
14dd133086c
15805651a50
hex4c9c35e10

20564893200 has 360 divisors, whose sum is σ = 73685943520. Its totient is φ = 4888166400.

The previous prime is 20564893199. The next prime is 20564893241. The reversal of 20564893200 is 239846502.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6587640 + ... + 6590760.

Almost surely, 220564893200 is an apocalyptic number.

20564893200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20564893200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36842971760).

20564893200 is an abundant number, since it is smaller than the sum of its proper divisors (53121050320).

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

20564893200 is a wasteful number, since it uses less digits than its factorization.

20564893200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 20564893200 in words is "twenty billion, five hundred sixty-four million, eight hundred ninety-three thousand, two hundred".