Search a number
-
+
21732382334848 = 27419114545641
BaseRepresentation
bin1001111000011111101101…
…11011011101111110000000
32211221121002002110101021211
410330033312323131332000
510322030404334203343
6114115415115455504
74402053456633643
oct474176673357600
984847062411254
1021732382334848
116a197192a2029
12252ba6aa57594
13c1847c823793
14551bd2595a5a
1527a49851579d
hex13c3f6eddf80

21732382334848 has 64 divisors (see below), whose sum is σ = 44399649147840. Its totient is φ = 10589522944000.

The previous prime is 21732382334843. The next prime is 21732382334891. The reversal of 21732382334848 is 84843328323712.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 21732382334792 and 21732382334801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21732382334843) 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, 2508108 + ... + 7053748.

It is an arithmetic number, because the mean of its divisors is an integer number (693744517935).

Almost surely, 221732382334848 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 21732382334848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22199824573920).

21732382334848 is an abundant number, since it is smaller than the sum of its proper divisors (22667266812992).

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

21732382334848 is an equidigital number, since it uses as much as digits as its factorization.

21732382334848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546607 (or 4546595 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 58.

The spelling of 21732382334848 in words is "twenty-one trillion, seven hundred thirty-two billion, three hundred eighty-two million, three hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 911 1312 1822 2624 3644 5248 7288 14576 29152 37351 58304 74702 116608 149404 298808 597616 1195232 2390464 4545641 4780928 9091282 18182564 36365128 72730256 145460512 186371281 290921024 372742562 581842048 745485124 1490970248 2981940496 4141078951 5963880992 8282157902 11927761984 16564315804 23855523968 33128631608 66257263216 132514526432 169784236991 265029052864 339568473982 530058105728 679136947964 1358273895928 2716547791856 5433095583712 10866191167424 21732382334848