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21145483344 = 2431929577841
BaseRepresentation
bin10011101100010111…
…100111100001010000
32000120122221211222210
4103230113213201100
5321301220431334
613414125032120
71346001433326
oct235427474120
960518854883
1021145483344
118a7108a677
1241216b5640
131cbcac1c2b
1410484a3d16
1583b5d85e9
hex4ec5e7850

21145483344 has 80 divisors (see below), whose sum is σ = 57527657280. Its totient is φ = 6674411520.

The previous prime is 21145483319. The next prime is 21145483349. The reversal of 21145483344 is 44338454112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21145483349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2692864 + ... + 2700704.

It is an arithmetic number, because the mean of its divisors is an integer number (719095716).

Almost surely, 221145483344 is an apocalyptic number.

21145483344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21145483344 is an abundant number, since it is smaller than the sum of its proper divisors (36382173936).

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

21145483344 is a wasteful number, since it uses less digits than its factorization.

21145483344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10828 (or 10822 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The spelling of 21145483344 in words is "twenty-one billion, one hundred forty-five million, four hundred eighty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2957 5914 7841 8871 11828 15682 17742 23523 23656 31364 35484 47046 47312 56183 62728 70968 94092 112366 125456 141936 148979 168549 188184 224732 297958 337098 376368 446937 449464 595916 674196 893874 898928 1191832 1348392 1787748 2383664 2696784 3575496 7150992 23185837 46371674 69557511 92743348 139115022 185486696 278230044 370973392 440530903 556460088 881061806 1112920176 1321592709 1762123612 2643185418 3524247224 5286370836 7048494448 10572741672 21145483344