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21115026016 = 2571494491409
BaseRepresentation
bin10011101010100011…
…011011101001100000
32000111112122110101121
4103222203123221200
5321220421313031
613411120142024
71345151521420
oct235243335140
960445573347
1021115026016
118a55977627
124113467914
131cb66b9a46
141044416480
15838abe011
hex4ea8dba60

21115026016 has 96 divisors (see below), whose sum is σ = 47968200000. Its totient is φ = 8962179072.

The previous prime is 21115026013. The next prime is 21115026019. The reversal of 21115026016 is 61062051112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21115026013) and next prime (21115026019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21115026013) 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, 14985120 + ... + 14986528.

It is an arithmetic number, because the mean of its divisors is an integer number (499668750).

Almost surely, 221115026016 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 21115026016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23984100000).

21115026016 is an abundant number, since it is smaller than the sum of its proper divisors (26853173984).

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

21115026016 is a wasteful number, since it uses less digits than its factorization.

21115026016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 21115026016 its reverse (61062051112), we get a palindrome (82177077128).

The spelling of 21115026016 in words is "twenty-one billion, one hundred fifteen million, twenty-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 149 224 298 449 596 898 1043 1192 1409 1796 2086 2384 2818 3143 3592 4172 4768 5636 6286 7184 8344 9863 11272 12572 14368 16688 19726 22544 25144 33376 39452 45088 50288 66901 78904 100576 133802 157808 209941 267604 315616 419882 468307 535208 632641 839764 936614 1070416 1265282 1469587 1679528 1873228 2140832 2530564 2939174 3359056 3746456 4428487 5061128 5878348 6718112 7492912 8856974 10122256 11756696 14985824 17713948 20244512 23513392 35427896 47026784 70855792 94263509 141711584 188527018 377054036 659844563 754108072 1319689126 1508216144 2639378252 3016432288 5278756504 10557513008 21115026016