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21144644112 = 2431014361519
BaseRepresentation
bin10011101100010100…
…011010101000010000
32000120121101012210010
4103230110122220100
5321301012102422
613414055034520
71345661336514
oct235424325020
960517335703
1021144644112
118a70667099
12412136ba40
131cbc889c47
141048326144
1583b4beb0c
hex4ec51aa10

21144644112 has 40 divisors (see below), whose sum is σ = 55164504960. Its totient is φ = 6978428800.

The previous prime is 21144644093. The next prime is 21144644219.

21144644112 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21144644112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2175912 + ... + 2185607.

It is an arithmetic number, because the mean of its divisors is an integer number (1379112624).

Almost surely, 221144644112 is an apocalyptic number.

It is an amenable number.

21144644112 is an abundant number, since it is smaller than the sum of its proper divisors (34019860848).

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

21144644112 is a wasteful number, since it uses less digits than its factorization.

21144644112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4361631 (or 4361625 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The spelling of 21144644112 in words is "twenty-one billion, one hundred forty-four million, six hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 4361519 8723038 13084557 17446076 26169114 34892152 52338228 69784304 104676456 209352912 440513419 881026838 1321540257 1762053676 2643080514 3524107352 5286161028 7048214704 10572322056 21144644112