Search a number
-
+
20072664282 = 23112379167381
BaseRepresentation
bin10010101100011011…
…001000110011011010
31220210220020222220110
4102230123020303122
5312102100224112
613115442505150
71310263555056
oct225433106332
956726228813
1020072664282
11857054a850
123a823651b6
131b7b76a058
14d85bdcc66
157c732113c
hex4ac6c8cda

20072664282 has 64 divisors (see below), whose sum is σ = 46277775360. Its totient is φ = 5744481600.

The previous prime is 20072664229. The next prime is 20072664299. The reversal of 20072664282 is 28246627002.

It is a self number, because there is not a number n which added to its sum of digits gives 20072664282.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36232 + ... + 203612.

It is an arithmetic number, because the mean of its divisors is an integer number (723090240).

Almost surely, 220072664282 is an apocalyptic number.

20072664282 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20072664282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23138887680).

20072664282 is an abundant number, since it is smaller than the sum of its proper divisors (26205111078).

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

20072664282 is a wasteful number, since it uses less digits than its factorization.

20072664282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167499.

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 20072664282 in words is "twenty billion, seventy-two million, six hundred sixty-four thousand, two hundred eighty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 79 138 158 237 253 474 506 759 869 1518 1738 1817 2607 3634 5214 5451 10902 19987 39974 59961 119922 167381 334762 502143 1004286 1841191 3682382 3849763 5523573 7699526 11047146 11549289 13223099 23098578 26446198 39669297 42347393 79338594 84694786 127042179 145454089 254084358 290908178 304131277 436362267 608262554 872724534 912393831 1824787662 3345444047 6690888094 10036332141 20072664282