Search a number
-
+
20014450056 = 23369913463
BaseRepresentation
bin10010101000111101…
…000100010110001000
31220122211201102000000
4102220331010112020
5311442144400211
613110003043000
71305656006226
oct225075042610
956584642000
1020014450056
1185406a9617
123a66970460
131b6c696b73
14d7c1a7b16
157c2172656
hex4a8f44588

20014450056 has 112 divisors (see below), whose sum is σ = 56337941760. Its totient is φ = 6662826720.

The previous prime is 20014450019. The next prime is 20014450097. The reversal of 20014450056 is 65005441002.

20014450056 is a `hidden beast` number, since 200 + 1 + 4 + 450 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×200144500562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5777781 + ... + 5781243.

Almost surely, 220014450056 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 20014450056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28168970880).

20014450056 is an abundant number, since it is smaller than the sum of its proper divisors (36323491704).

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

20014450056 is an equidigital number, since it uses as much as digits as its factorization.

20014450056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 20014450056 its reverse (65005441002), we get a palindrome (85019891058).

The spelling of 20014450056 in words is "twenty billion, fourteen million, four hundred fifty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 991 1458 1944 1982 2916 2973 3463 3964 5832 5946 6926 7928 8919 10389 11892 13852 17838 20778 23784 26757 27704 31167 35676 41556 53514 62334 71352 80271 83112 93501 107028 124668 160542 187002 214056 240813 249336 280503 321084 374004 481626 561006 642168 722439 748008 841509 963252 1122012 1444878 1683018 1926504 2244024 2524527 2889756 3366036 3431833 5049054 5779512 6732072 6863666 10098108 10295499 13727332 20196216 20590998 27454664 30886497 41181996 61772994 82363992 92659491 123545988 185318982 247091976 277978473 370637964 555956946 741275928 833935419 1111913892 1667870838 2223827784 2501806257 3335741676 5003612514 6671483352 10007225028 20014450056