Search a number
-
+
21124545312 = 25313109155291
BaseRepresentation
bin10011101011000111…
…101111101100100000
32000112012120002102010
4103223013233230200
5321230340422222
613412100152520
71345325446443
oct235307575440
960465502363
1021124545312
118a60289612
124116698740
131cb8670870
1410457b365a
1583984e80c
hex4eb1efb20

21124545312 has 96 divisors (see below), whose sum is σ = 60265719360. Its totient is φ = 6440186880.

The previous prime is 21124545311. The next prime is 21124545329. The reversal of 21124545312 is 21354542112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 21124545312.

It is not an unprimeable number, because it can be changed into a prime (21124545311) 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 15 ways as a sum of consecutive naturals, for example, 58387 + ... + 213677.

It is an arithmetic number, because the mean of its divisors is an integer number (627767910).

Almost surely, 221124545312 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 21124545312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132859680).

21124545312 is an abundant number, since it is smaller than the sum of its proper divisors (39141174048).

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

21124545312 is a wasteful number, since it uses less digits than its factorization.

21124545312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155426 (or 155418 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The spelling of 21124545312 in words is "twenty-one billion, one hundred twenty-four million, five hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 109 156 208 218 312 327 416 436 624 654 872 1248 1308 1417 1744 2616 2834 3488 4251 5232 5668 8502 10464 11336 17004 22672 34008 45344 68016 136032 155291 310582 465873 621164 931746 1242328 1863492 2018783 2484656 3726984 4037566 4969312 6056349 7453968 8075132 12112698 14907936 16150264 16926719 24225396 32300528 33853438 48450792 50780157 64601056 67706876 96901584 101560314 135413752 193803168 203120628 220047347 270827504 406241256 440094694 541655008 660142041 812482512 880189388 1320284082 1624965024 1760378776 2640568164 3520757552 5281136328 7041515104 10562272656 21124545312