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20320004032 = 26596837879
BaseRepresentation
bin10010111011001010…
…101010011111000000
31221110010200011020221
4102323022222133000
5313103410112112
613200200112424
71316356120156
oct227312523700
957403604227
1020320004032
118688126869
123b31165714
131bbaa8a933
14daa9c53d6
157dddcbe07
hex4bb2aa7c0

20320004032 has 56 divisors (see below), whose sum is σ = 41071190400. Its totient is φ = 9971909376.

The previous prime is 20320004021. The next prime is 20320004041. The reversal of 20320004032 is 23040002302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20320003997 and 20320004015.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2575069 + ... + 2582947.

Almost surely, 220320004032 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 20320004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20535595200).

20320004032 is an abundant number, since it is smaller than the sum of its proper divisors (20751186368).

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

20320004032 is an equidigital number, since it uses as much as digits as its factorization.

20320004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8633 (or 8623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 20320004032 its reverse (23040002302), we get a palindrome (43360006334).

The spelling of 20320004032 in words is "twenty billion, three hundred twenty million, four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 683 944 1366 1888 2732 3776 5464 7879 10928 15758 21856 31516 40297 43712 63032 80594 126064 161188 252128 322376 464861 504256 644752 929722 1289504 1859444 2579008 3718888 5381357 7437776 10762714 14875552 21525428 29751104 43050856 86101712 172203424 317500063 344406848 635000126 1270000252 2540000504 5080001008 10160002016 20320004032