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21209844496 = 2423215832
BaseRepresentation
bin10011110000001101…
…001000101100010000
32000202011001201220011
4103300031020230100
5321414210010441
613424344324304
71350412463221
oct236015105420
960664051804
1021209844496
118aa444a105
12413b173694
132000237c59
141052c59248
1584209d581
hex4f0348b10

21209844496 has 45 divisors (see below), whose sum is σ = 42985609639. Its totient is φ = 10137430688.

The previous prime is 21209844493. The next prime is 21209844577. The reversal of 21209844496 is 69444890212.

It is a happy number.

The square root of 21209844496 is 145636.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21209844493) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 13397721 + ... + 13399303.

Almost surely, 221209844496 is an apocalyptic number.

21209844496 is the 145636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21209844496

21209844496 is an abundant number, since it is smaller than the sum of its proper divisors (21775765143).

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

21209844496 is an frugal number, since it uses more digits than its factorization.

21209844496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

Multiplying 21209844496 by its sum of digits (49), we get a square (1039282380304 = 10194522).

The spelling of 21209844496 in words is "twenty-one billion, two hundred nine million, eight hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 1583 2116 3166 4232 6332 8464 12664 25328 36409 72818 145636 291272 582544 837407 1674814 2505889 3349628 5011778 6699256 10023556 13398512 20047112 40094224 57635447 115270894 230541788 461083576 922167152 1325615281 2651230562 5302461124 10604922248 21209844496