Search a number
-
+
21525014004 = 223131316531613
BaseRepresentation
bin10100000010111111…
…011010010111110100
32001120010010000011220
4110002333122113310
5323040400422004
613515523430340
71361260412604
oct240277322764
961503100156
1021525014004
11914634467a
1242088253b0
1320506175a0
141082a5ac04
1585eaa6dd9
hex502fda5f4

21525014004 has 96 divisors (see below), whose sum is σ = 54618689664. Its totient is φ = 6558389760.

The previous prime is 21525013997. The next prime is 21525014009. The reversal of 21525014004 is 40041052512.

It is a super-2 number, since 2×215250140042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21525014009) 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 31 ways as a sum of consecutive naturals, for example, 13343902 + ... + 13345514.

It is an arithmetic number, because the mean of its divisors is an integer number (568944684).

Almost surely, 221525014004 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 21525014004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27309344832).

21525014004 is an abundant number, since it is smaller than the sum of its proper divisors (33093675660).

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

21525014004 is a wasteful number, since it uses less digits than its factorization.

21525014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 21525014004 its reverse (40041052512), we get a palindrome (61566066516).

The spelling of 21525014004 in words is "twenty-one billion, five hundred twenty-five million, fourteen thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 131 156 262 393 524 653 786 1306 1572 1613 1703 1959 2612 3226 3406 3918 4839 5109 6452 6812 7836 8489 9678 10218 16978 19356 20436 20969 25467 33956 41938 50934 62907 83876 85543 101868 125814 171086 211303 251628 256629 342172 422606 513258 633909 845212 1026516 1053289 1112059 1267818 2106578 2224118 2535636 2746939 3159867 3336177 4213156 4448236 5493878 6319734 6672354 8240817 10987756 12639468 13344708 13692757 16481634 27385514 32963268 41078271 54771028 82156542 137980859 164313084 275961718 413942577 551923436 827885154 1655770308 1793751167 3587502334 5381253501 7175004668 10762507002 21525014004