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21345144512 = 261746342373
BaseRepresentation
bin10011111000010001…
…010000111011000000
32001002120122200121212
4103320101100323000
5322203324111022
613450020305252
71353644510006
oct237021207300
961076580555
1021345144512
119063860aaa
124178542228
13202228ac33
141066bd8a76
1584ddc73e2
hex4f8450ec0

21345144512 has 56 divisors (see below), whose sum is σ = 44946271296. Its totient is φ = 10022842368.

The previous prime is 21345144511. The next prime is 21345144533. The reversal of 21345144512 is 21544154312.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (21345144511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482558 + ... + 524930.

Almost surely, 221345144512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21345144512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22473135648).

21345144512 is an abundant number, since it is smaller than the sum of its proper divisors (23601126784).

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

21345144512 is a wasteful number, since it uses less digits than its factorization.

21345144512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42865 (or 42855 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

Adding to 21345144512 its reverse (21544154312), we get a palindrome (42889298824).

The spelling of 21345144512 in words is "twenty-one billion, three hundred forty-five million, one hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 463 544 926 1088 1852 3704 7408 7871 14816 15742 29632 31484 42373 62968 84746 125936 169492 251872 338984 503744 677968 720341 1355936 1440682 2711872 2881364 5762728 11525456 19618699 23050912 39237398 46101824 78474796 156949592 313899184 333517883 627798368 667035766 1255596736 1334071532 2668143064 5336286128 10672572256 21345144512