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20412413420 = 2257792936299
BaseRepresentation
bin10011000000101011…
…001011010111101100
31221200120120001002212
4103000223023113230
5313301034212140
613213300505552
71321560436250
oct230053132754
957616501085
1020412413420
118725303363
123b580ab2b8
131c03c74449
14db8d9c260
157e7082765
hex4c0acb5ec

20412413420 has 96 divisors (see below), whose sum is σ = 49787136000. Its totient is φ = 6885275904.

The previous prime is 20412413389. The next prime is 20412413447. The reversal of 20412413420 is 2431421402.

It is a super-4 number, since 4×204124134204 (a number of 42 digits) contains 4444 as substring.

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, 3237431 + ... + 3243729.

It is an arithmetic number, because the mean of its divisors is an integer number (518616000).

Almost surely, 220412413420 is an apocalyptic number.

20412413420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20412413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24893568000).

20412413420 is an abundant number, since it is smaller than the sum of its proper divisors (29374722580).

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

20412413420 is a wasteful number, since it uses less digits than its factorization.

20412413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6687 (or 6685 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 20412413420 its reverse (2431421402), we get a palindrome (22843834822).

The spelling of 20412413420 in words is "twenty billion, four hundred twelve million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 293 316 395 553 586 790 1106 1172 1465 1580 2051 2212 2765 2930 4102 5530 5860 6299 8204 10255 11060 12598 20510 23147 25196 31495 41020 44093 46294 62990 88186 92588 115735 125980 162029 176372 220465 231470 324058 440930 462940 497621 648116 810145 881860 995242 1620290 1845607 1990484 2488105 3240580 3483347 3691214 4976210 6966694 7382428 9228035 9952420 12919249 13933388 17416735 18456070 25838498 34833470 36912140 51676996 64596245 69666940 129192490 145802953 258384980 291605906 583211812 729014765 1020620671 1458029530 2041241342 2916059060 4082482684 5103103355 10206206710 20412413420