Search a number
-
+
200044621728 = 253671073
BaseRepresentation
bin1011101001001110010…
…1101010111110100000
3201010100110020201000000
42322103211222332200
511234142410343403
6231522122300000
720311202141340
oct2722345527640
9633313221000
10200044621728
1177924a79166
123292a657600
1315b30643573
149979db8d20
15530c33a7a3
hex2e9396afa0

200044621728 has 336 divisors, whose sum is σ = 681208315200. Its totient is φ = 56621441664.

The previous prime is 200044621697. The next prime is 200044621789. The reversal of 200044621728 is 827126440002.

200044621728 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 4 + 4 + 621 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200044621692 and 200044621701.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1869575851 + ... + 1869575957.

It is an arithmetic number, because the mean of its divisors is an integer number (2027405700).

Almost surely, 2200044621728 is an apocalyptic number.

200044621728 is a gapful number since it is divisible by the number (28) 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 200044621728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340604157600).

200044621728 is an abundant number, since it is smaller than the sum of its proper divisors (481163693472).

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

200044621728 is an frugal number, since it uses more digits than its factorization.

200044621728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 200044621728 in words is "two hundred billion, forty-four million, six hundred twenty-one thousand, seven hundred twenty-eight".