Search a number
-
+
20166407369 = 1737283311317
BaseRepresentation
bin10010110010000000…
…101111010011001001
31221001102122122020122
4102302000233103021
5312300100013434
613133032033025
71312512430403
oct226200572311
957042578218
1020166407369
118609458379
123aa9832775
131b94ccc934
14d94441b73
157d068bc2e
hex4b202f4c9

20166407369 has 16 divisors (see below), whose sum is σ = 21939445008. Its totient is φ = 18459021312.

The previous prime is 20166407347. The next prime is 20166407377. The reversal of 20166407369 is 96370466102.

It can be written as a sum of positive squares in 8 ways, for example, as 6982774969 + 13183632400 = 83563^2 + 114820^2 .

It is a cyclic number.

It is not a de Polignac number, because 20166407369 - 212 = 20166403273 is a prime.

It is a super-2 number, since 2×201664073692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20166407309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1776299 + ... + 1787615.

It is an arithmetic number, because the mean of its divisors is an integer number (1371215313).

Almost surely, 220166407369 is an apocalyptic number.

It is an amenable number.

20166407369 is a deficient number, since it is larger than the sum of its proper divisors (1773037639).

20166407369 is a wasteful number, since it uses less digits than its factorization.

20166407369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14204.

The product of its (nonzero) digits is 326592, while the sum is 44.

The spelling of 20166407369 in words is "twenty billion, one hundred sixty-six million, four hundred seven thousand, three hundred sixty-nine".

Divisors: 1 17 37 629 2833 11317 48161 104821 192389 418729 1781957 7118393 32061061 545038037 1186259257 20166407369