Search a number
-
+
21673744080 = 2435436134429
BaseRepresentation
bin10100001011110110…
…110001011011010000
32001221110222021111020
4110023312301123100
5323341434302310
613542355315440
71365044533152
oct241366613320
961843867436
1021673744080
11921229979a
12424a5abb80
132075390451
1410986d4ad2
1586cb85170
hex50bdb16d0

21673744080 has 160 divisors (see below), whose sum is σ = 69880229760. Its totient is φ = 5552547840.

The previous prime is 21673744073. The next prime is 21673744111. The reversal of 21673744080 is 8044737612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612306 + ... + 646734.

It is an arithmetic number, because the mean of its divisors is an integer number (436751436).

Almost surely, 221673744080 is an apocalyptic number.

21673744080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21673744080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34940114880).

21673744080 is an abundant number, since it is smaller than the sum of its proper divisors (48206485680).

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

21673744080 is a wasteful number, since it uses less digits than its factorization.

21673744080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34549 (or 34543 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 21673744080 in words is "twenty-one billion, six hundred seventy-three million, seven hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 61 80 86 120 122 129 172 183 215 240 244 258 305 344 366 430 488 516 610 645 688 732 860 915 976 1032 1220 1290 1464 1720 1830 2064 2440 2580 2623 2928 3440 3660 4880 5160 5246 7320 7869 10320 10492 13115 14640 15738 20984 26230 31476 34429 39345 41968 52460 62952 68858 78690 103287 104920 125904 137716 157380 172145 206574 209840 275432 314760 344290 413148 516435 550864 629520 688580 826296 1032870 1377160 1480447 1652592 2065740 2100169 2754320 2960894 4131480 4200338 4441341 5921788 6300507 7402235 8262960 8400676 8882682 10500845 11843576 12601014 14804470 16801352 17765364 21001690 22206705 23687152 25202028 29608940 31502535 33602704 35530728 42003380 44413410 50404056 59217880 63005070 71061456 84006760 88826820 90307267 100808112 118435760 126010140 168013520 177653640 180614534 252020280 270921801 355307280 361229068 451536335 504040560 541843602 722458136 903072670 1083687204 1354609005 1444916272 1806145340 2167374408 2709218010 3612290680 4334748816 5418436020 7224581360 10836872040 21673744080