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20443760228304 = 243572131819157
BaseRepresentation
bin1001010010111111011110…
…00100001111011111010000
32200101101220210121210200000
410221133233010033133100
510134422310104301204
6111251422255530000
74210004302515300
oct451375704173720
980341823553600
1020443760228304
116572171754676
122362179b29900
13b53ab8a2509a
145096aa169600
15256bc8428039
hex1297ef10f7d0

20443760228304 has 360 divisors, whose sum is σ = 69547182632928. Its totient is φ = 5796478920960.

The previous prime is 20443760228273. The next prime is 20443760228357. The reversal of 20443760228304 is 40382206734402.

20443760228304 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 3 + 7 + 602 + 2 + 8 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20443760228304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24547494 + ... + 25366650.

Almost surely, 220443760228304 is an apocalyptic number.

20443760228304 is a gapful number since it is divisible by the number (24) 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 20443760228304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34773591316464).

20443760228304 is an abundant number, since it is smaller than the sum of its proper divisors (49103422404624).

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

20443760228304 is a wasteful number, since it uses less digits than its factorization.

20443760228304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819325 (or 819300 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 20443760228304 in words is "twenty trillion, four hundred forty-three billion, seven hundred sixty million, two hundred twenty-eight thousand, three hundred four".