Search a number
-
+
20004166312 = 2313261324137
BaseRepresentation
bin10010101000010101…
…110101101010101000
31220122010100221100121
4102220111311222220
5311432031310222
613104554413024
71305502415404
oct225025655250
956563327317
1020004166312
118535915259
123a63431174
131b6a506100
14d7aa8c104
157c12e05c7
hex4a8575aa8

20004166312 has 48 divisors (see below), whose sum is σ = 40682909340. Its totient is φ = 9217248768.

The previous prime is 20004166253. The next prime is 20004166319. The reversal of 20004166312 is 21366140002.

It can be written as a sum of positive squares in 6 ways, for example, as 368870436 + 19635295876 = 19206^2 + 140126^2 .

It is not an unprimeable number, because it can be changed into a prime (20004166319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 816708 + ... + 840844.

Almost surely, 220004166312 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 20004166312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20341454670).

20004166312 is an abundant number, since it is smaller than the sum of its proper divisors (20678743028).

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

20004166312 is a wasteful number, since it uses less digits than its factorization.

20004166312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24782 (or 24765 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 20004166312 in words is "twenty billion, four million, one hundred sixty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 169 338 613 676 1226 1352 2452 4904 7969 15938 24137 31876 48274 63752 96548 103597 193096 207194 313781 414388 627562 828776 1255124 2510248 4079153 8158306 14795981 16316612 29591962 32633224 59183924 118367848 192347753 384695506 769391012 1538782024 2500520789 5001041578 10002083156 20004166312