Search a number
-
+
20406165066 = 23271514332477
BaseRepresentation
bin10011000000010011…
…010101111001001010
31221200010210120222100
4103000103111321022
5313242434240231
613212514534230
71321453353420
oct230023257112
957603716870
1020406165066
118721825931
123b55b97376
131c028973b1
14db8213110
157e674b1e6
hex4c04d5e4a

20406165066 has 96 divisors (see below), whose sum is σ = 51002235648. Its totient is φ = 5776012800.

The previous prime is 20406164957. The next prime is 20406165071. The reversal of 20406165066 is 66056160402.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20406165066.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8237020 + ... + 8239496.

It is an arithmetic number, because the mean of its divisors is an integer number (531273288).

Almost surely, 220406165066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20406165066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25501117824).

20406165066 is an abundant number, since it is smaller than the sum of its proper divisors (30596070582).

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

20406165066 is a wasteful number, since it uses less digits than its factorization.

20406165066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20406165066 in words is "twenty billion, four hundred six million, one hundred sixty-five thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 151 302 433 453 866 906 1057 1299 1359 2114 2477 2598 2718 3031 3171 3897 4954 6062 6342 7431 7794 9093 9513 14862 17339 18186 19026 22293 27279 34678 44586 52017 54558 65383 104034 130766 156051 196149 312102 374027 392298 457681 588447 748054 915362 1072541 1122081 1176894 1373043 2145082 2244162 2618189 2746086 3217623 3366243 4119129 5236378 6435246 6732486 7507787 7854567 8238258 9652869 15015574 15709134 19305738 22523361 23563701 45046722 47127402 67570083 135140166 161953691 323907382 485861073 971722146 1133675837 1457583219 2267351674 2915166438 3401027511 6802055022 10203082533 20406165066