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20604404000 = 255310151001
BaseRepresentation
bin10011001100000111…
…100100000100100000
31222011221211011200002
4103030013210010200
5314144211412000
613244315515132
71326411354455
oct231407440440
958157734602
1020604404000
118813715764
123bb0458aa8
131c34985c3b
14dd669782c
15808d588d5
hex4cc1e4120

20604404000 has 96 divisors (see below), whose sum is σ = 51127260912. Its totient is φ = 8160000000.

The previous prime is 20604403993. The next prime is 20604404027. The reversal of 20604404000 is 40440602.

It can be written as a sum of positive squares in 8 ways, for example, as 7304779024 + 13299624976 = 85468^2 + 115324^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378500 + ... + 429500.

Almost surely, 220604404000 is an apocalyptic number.

20604404000 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 20604404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25563630456).

20604404000 is an abundant number, since it is smaller than the sum of its proper divisors (30522856912).

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

20604404000 is a wasteful number, since it uses less digits than its factorization.

20604404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51127 (or 51109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20604404000 its reverse (40440602), we get a palindrome (20644844602).

The spelling of 20604404000 in words is "twenty billion, six hundred four million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 8080 10100 12625 16160 20200 25250 40400 50500 51001 80800 101000 102002 202000 204004 255005 404000 408008 510010 816016 1020020 1275025 1632032 2040040 2550050 4080080 5100100 5151101 6375125 8160160 10200200 10302202 12750250 20400400 20604404 25500500 25755505 40800800 41208808 51001000 51511010 82417616 102002000 103022020 128777525 164835232 204004000 206044040 257555050 412088080 515110100 643887625 824176160 1030220200 1287775250 2060440400 2575550500 4120880800 5151101000 10302202000 20604404000