Search a number
-
+
20044035916800 = 2103527412513623
BaseRepresentation
bin1001000111010110111011…
…01001000000010000000000
32121222012011022210212012020
410203223131221000100000
510111400141143314200
6110344034124401440
74136063616106650
oct443533551002000
977865138725166
1020044035916800
11642869a801105
1222b88030a6280
13b251b5551b3c
144d41ca84c360
1524b5d0d39ea0
hex123adda40400

20044035916800 has 1056 divisors, whose sum is σ = 77887458883584. Its totient is φ = 4450713600000.

The previous prime is 20044035916799. The next prime is 20044035916829. The reversal of 20044035916800 is 861953044002.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5532439789 + ... + 5532443411.

Almost surely, 220044035916800 is an apocalyptic number.

20044035916800 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 20044035916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38943729441792).

20044035916800 is an abundant number, since it is smaller than the sum of its proper divisors (57843422966784).

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

20044035916800 is a wasteful number, since it uses less digits than its factorization.

20044035916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 20044035916800 in words is "twenty trillion, forty-four billion, thirty-five million, nine hundred sixteen thousand, eight hundred".