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420002199980 = 225113735639091
BaseRepresentation
bin1100001110010100001…
…01001111100110101100
31111011002200020102001022
412013022011033212230
523340131030344410
6520540224433312
742226021536566
oct6071205174654
91434080212038
10420002199980
11152138324290
1269495a78838
13307b560642c
141648489c336
15add294b455
hex61ca14f9ac

420002199980 has 96 divisors (see below), whose sum is σ = 966586376448. Its totient is φ = 152031340800.

The previous prime is 420002199907. The next prime is 420002199997. The reversal of 420002199980 is 89991200024.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46195235 + ... + 46204325.

It is an arithmetic number, because the mean of its divisors is an integer number (10068608088).

Almost surely, 2420002199980 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 420002199980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483293188224).

420002199980 is an abundant number, since it is smaller than the sum of its proper divisors (546584176468).

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

420002199980 is a wasteful number, since it uses less digits than its factorization.

420002199980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10047 (or 10045 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

Adding to 420002199980 its sum of digits (44), we get a palindrome (420002200024).

The spelling of 420002199980 in words is "four hundred twenty billion, two million, one hundred ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 373 563 746 1126 1492 1865 2252 2815 3730 4103 5630 6193 7460 8206 9091 11260 12386 16412 18182 20515 24772 30965 36364 41030 45455 61930 82060 90910 100001 123860 181820 200002 209999 400004 419998 500005 839996 1000010 1049995 2000020 2099990 2309989 3390943 4199980 4619978 5118233 6781886 9239956 10236466 11549945 13563772 16954715 20472932 23099890 25591165 33909430 37300373 46199780 51182330 56300563 67818860 74600746 102364660 112601126 149201492 186501865 225202252 281502815 373003730 563005630 746007460 1126011260 1909100909 3818201818 7636403636 9545504545 19091009090 21000109999 38182018180 42000219998 84000439996 105000549995 210001099990 420002199980