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21524242512 = 24310137311903
BaseRepresentation
bin10100000010111100…
…011110000001010000
32001120001122210220010
4110002330132001100
5323040201230022
613515455114520
71361251020423
oct240274360120
961501583803
1021524242512
119145967a83
124208512a40
132050407396
1410828d99ba
1585e9a350c
hex502f1e050

21524242512 has 80 divisors (see below), whose sum is σ = 56310110208. Its totient is φ = 7084070400.

The previous prime is 21524242463. The next prime is 21524242547.

21524242512 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 21524242512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1802353 + ... + 1814255.

Almost surely, 221524242512 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 21524242512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28155055104).

21524242512 is an abundant number, since it is smaller than the sum of its proper divisors (34785867696).

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

21524242512 is a wasteful number, since it uses less digits than its factorization.

21524242512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12388 (or 12382 counting only the distinct ones).

The product of its digits is 12800, while the sum is 30.

The spelling of 21524242512 in words is "twenty-one billion, five hundred twenty-four million, two hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 373 404 606 746 808 1119 1212 1492 1616 2238 2424 2984 4476 4848 5968 8952 11903 17904 23806 35709 37673 47612 71418 75346 95224 113019 142836 150692 190448 226038 285672 301384 452076 571344 602768 904152 1202203 1808304 2404406 3606609 4439819 4808812 7213218 8879638 9617624 13319457 14426436 17759276 19235248 26638914 28852872 35518552 53277828 57705744 71037104 106555656 213111312 448421719 896843438 1345265157 1793686876 2690530314 3587373752 5381060628 7174747504 10762121256 21524242512