Search a number
-
+
20412443052 = 223219236531987
BaseRepresentation
bin10011000000101011…
…010010100110101100
31221200120121112202100
4103000223102212230
5313301041134202
613213301255100
71321560621531
oct230053224654
957616545670
1020412443052
118725323651
123b58104490
131c03c84a91
14db8da8d88
157e708b41c
hex4c0ad29ac

20412443052 has 144 divisors (see below), whose sum is σ = 56790639360. Its totient is φ = 6153231744.

The previous prime is 20412443047. The next prime is 20412443059. The reversal of 20412443052 is 25034421402.

20412443052 is a `hidden beast` number, since 204 + 1 + 24 + 430 + 5 + 2 = 666.

It is a super-2 number, since 2×204124430522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20412443059) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10272003 + ... + 10273989.

It is an arithmetic number, because the mean of its divisors is an integer number (394379440).

Almost surely, 220412443052 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 20412443052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28395319680).

20412443052 is an abundant number, since it is smaller than the sum of its proper divisors (36378196308).

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

20412443052 is a wasteful number, since it uses less digits than its factorization.

20412443052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20412443052 its reverse (25034421402), we get a palindrome (45446864454).

The spelling of 20412443052 in words is "twenty billion, four hundred twelve million, four hundred forty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 653 684 828 874 1306 1311 1748 1959 1987 2612 2622 3918 3933 3974 5244 5877 5961 7836 7866 7948 11754 11922 12407 15019 15732 17883 23508 23844 24814 30038 35766 37221 37753 45057 45701 49628 60076 71532 74442 75506 90114 91402 111663 113259 135171 137103 148884 151012 180228 182804 223326 226518 270342 274206 285361 339777 411309 446652 453036 540684 548412 570722 679554 822618 856083 868319 1141444 1297511 1359108 1645236 1712166 1736638 2568249 2595022 2604957 3424332 3473276 3892533 5136498 5190044 5209914 7785066 7814871 10272996 10419828 11677599 15570132 15629742 23355198 24652709 29842753 31259484 46710396 49305418 59685506 73958127 89528259 98610836 119371012 147916254 179056518 221874381 268584777 295832508 358113036 443748762 537169554 567012307 887497524 1074339108 1134024614 1701036921 2268049228 3402073842 5103110763 6804147684 10206221526 20412443052