Search a number
-
+
21645244608 = 2631319145403
BaseRepresentation
bin10100001010001010…
…000011100011000000
32001212111100100120020
4110022022003203000
5323312140311413
613535500413440
71364250354261
oct241212034300
961774310506
1021645244608
1191a81a3709
124240b47280
13206c4c2460
1410949d6968
1586a405c23
hex50a2838c0

21645244608 has 112 divisors (see below), whose sum is σ = 61999343616. Its totient is φ = 6625059840.

The previous prime is 21645244597. The next prime is 21645244637. The reversal of 21645244608 is 80644254612.

It is a super-2 number, since 2×216452446082 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21645244608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454035 + ... + 499437.

It is an arithmetic number, because the mean of its divisors is an integer number (553565568).

Almost surely, 221645244608 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 21645244608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30999671808).

21645244608 is an abundant number, since it is smaller than the sum of its proper divisors (40354099008).

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

21645244608 is a wasteful number, since it uses less digits than its factorization.

21645244608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45622 (or 45612 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 21645244608 in words is "twenty-one billion, six hundred forty-five million, two hundred forty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 191 192 208 312 382 416 573 624 764 832 1146 1248 1528 2292 2483 2496 3056 4584 4966 6112 7449 9168 9932 12224 14898 18336 19864 29796 36672 39728 45403 59592 79456 90806 119184 136209 158912 181612 238368 272418 363224 476736 544836 590239 726448 1089672 1180478 1452896 1770717 2179344 2360956 2905792 3541434 4358688 4721912 7082868 8671973 8717376 9443824 14165736 17343946 18887648 26015919 28331472 34687892 37775296 52031838 56662944 69375784 104063676 112735649 113325888 138751568 208127352 225471298 277503136 338206947 416254704 450942596 555006272 676413894 832509408 901885192 1352827788 1665018816 1803770384 2705655576 3607540768 5411311152 7215081536 10822622304 21645244608