Search a number
-
+
21124440662328 = 2332751541372173
BaseRepresentation
bin1001100110110011010101…
…10010000010000100111000
32202210110212120221120011100
410303121222302002010320
510232100323302143303
6112532233431531400
74310122221655503
oct463315262020470
982713776846140
1021124440662328
11680490904a413
122452084529b60
13ba3045765a83
145305dd6ac13a
1526976636e8a3
hex13366ac82138

21124440662328 has 96 divisors (see below), whose sum is σ = 57299585279040. Its totient is φ = 7030707552000.

The previous prime is 21124440662321. The next prime is 21124440662329. The reversal of 21124440662328 is 82326604442112.

21124440662328 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 4 + 4 + 406 + 6 + 232 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21124440662321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292655650 + ... + 292727822.

It is an arithmetic number, because the mean of its divisors is an integer number (596870679990).

Almost surely, 221124440662328 is an apocalyptic number.

It is an amenable number.

21124440662328 is an abundant number, since it is smaller than the sum of its proper divisors (36175144616712).

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

21124440662328 is a wasteful number, since it uses less digits than its factorization.

21124440662328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78349 (or 78342 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 21124440662328 in words is "twenty-one trillion, one hundred twenty-four billion, four hundred forty million, six hundred sixty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 751 1502 2253 3004 4506 5413 6008 6759 9012 10826 13518 16239 18024 21652 27036 32478 43304 48717 54072 64956 72173 97434 129912 144346 194868 216519 288692 389736 433038 577384 649557 866076 1299114 1732152 2598228 4065163 5196456 8130326 12195489 16260652 24390978 32521304 36586467 48781956 54201923 73172934 97563912 108403846 146345868 162605769 216807692 292691736 325211538 390672449 433615384 487817307 650423076 781344898 975634614 1172017347 1300846152 1562689796 1951269228 2344034694 3125379592 3516052041 3902538456 4688069388 7032104082 9376138776 14064208164 28128416328 293395009199 586790018398 880185027597 1173580036796 1760370055194 2347160073592 2640555082791 3520740110388 5281110165582 7041480220776 10562220331164 21124440662328