Search a number
-
+
20486210256 = 243514935363
BaseRepresentation
bin10011000101000100…
…101100001011010000
31221212201102022100000
4103011010230023100
5313423432212011
613224454330000
71323444625341
oct230504541320
957781368300
1020486210256
118762a27a86
123b78959900
131c16342205
14dc4acc0c8
157ed7ad356
hex4c512c2d0

20486210256 has 120 divisors (see below), whose sum is σ = 59857106400. Its totient is φ = 6782714496.

The previous prime is 20486210207. The next prime is 20486210287. The reversal of 20486210256 is 65201268402.

It is a happy number.

20486210256 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 621 + 0 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20486210256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561631 + ... + 596993.

It is an arithmetic number, because the mean of its divisors is an integer number (498809220).

Almost surely, 220486210256 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 20486210256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29928553200).

20486210256 is an abundant number, since it is smaller than the sum of its proper divisors (39370896144).

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

20486210256 is a wasteful number, since it uses less digits than its factorization.

20486210256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35535 (or 35517 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 20486210256 its reverse (65201268402), we get a palindrome (85687478658).

The spelling of 20486210256 in words is "twenty billion, four hundred eighty-six million, two hundred ten thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 149 162 216 243 298 324 432 447 486 596 648 894 972 1192 1296 1341 1788 1944 2384 2682 3576 3888 4023 5364 7152 8046 10728 12069 16092 21456 24138 32184 35363 36207 48276 64368 70726 72414 96552 106089 141452 144828 193104 212178 282904 289656 318267 424356 565808 579312 636534 848712 954801 1273068 1697424 1909602 2546136 2864403 3819204 5092272 5269087 5728806 7638408 8593209 10538174 11457612 15276816 15807261 17186418 21076348 22915224 31614522 34372836 42152696 45830448 47421783 63229044 68745672 84305392 94843566 126458088 137491344 142265349 189687132 252916176 284530698 379374264 426796047 569061396 758748528 853592094 1138122792 1280388141 1707184188 2276245584 2560776282 3414368376 5121552564 6828736752 10243105128 20486210256