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19726143776 = 255393712413
BaseRepresentation
bin10010010111110001…
…010001000100100000
31212220202012221010122
4102113301101010200
5310344343100101
613021223415412
71265555312153
oct222761210440
955822187118
1019726143776
118402991869
1239a62b4568
131b24a31831
14d51b99c9a
157a6bc351b
hex497c51120

19726143776 has 48 divisors (see below), whose sum is σ = 39614017464. Its totient is φ = 9665869824.

The previous prime is 19726143769. The next prime is 19726143791. The reversal of 19726143776 is 67734162791.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12343210000 + 7382933776 = 111100^2 + 85924^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1582946 + ... + 1595358.

Almost surely, 219726143776 is an apocalyptic number.

19726143776 is a gapful number since it is divisible by the number (16) 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 19726143776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19807008732).

19726143776 is an abundant number, since it is smaller than the sum of its proper divisors (19887873688).

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

19726143776 is a wasteful number, since it uses less digits than its factorization.

19726143776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13413 (or 13405 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 53.

The spelling of 19726143776 in words is "nineteen billion, seven hundred twenty-six million, one hundred forty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 937 1696 1874 3748 7496 12413 14992 24826 29984 49652 49661 99304 99322 198608 198644 397216 397288 657889 794576 1315778 1589152 2631556 5263112 10526224 11630981 21052448 23261962 46523924 93047848 186095696 372191392 616441993 1232883986 2465767972 4931535944 9863071888 19726143776