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21145015512 = 23321094016719
BaseRepresentation
bin10011101100010101…
…110101010011011000
32000120122002002020200
4103230111311103120
5321301110444022
613414111022200
71345664444355
oct235425652330
960518062220
1021145015512
118a708a0135
12412150a960
131cbc989cca
1410483c162c
1583b544bac
hex4ec5754d8

21145015512 has 96 divisors (see below), whose sum is σ = 57945888000. Its totient is φ = 6965222400.

The previous prime is 21145015511. The next prime is 21145015571. The reversal of 21145015512 is 21551054112.

It is a happy number.

21145015512 is a `hidden beast` number, since 2 + 1 + 145 + 0 + 1 + 5 + 512 = 666.

It is a super-2 number, since 2×211450155122 (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 (21145015511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3143689 + ... + 3150407.

It is an arithmetic number, because the mean of its divisors is an integer number (603603000).

Almost surely, 221145015512 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 21145015512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28972944000).

21145015512 is an abundant number, since it is smaller than the sum of its proper divisors (36800872488).

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

21145015512 is a wasteful number, since it uses less digits than its factorization.

21145015512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7241 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 21145015512 its reverse (21551054112), we get a palindrome (42696069624).

The spelling of 21145015512 in words is "twenty-one billion, one hundred forty-five million, fifteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 401 436 654 802 872 981 1203 1308 1604 1962 2406 2616 3208 3609 3924 4812 6719 7218 7848 9624 13438 14436 20157 26876 28872 40314 43709 53752 60471 80628 87418 120942 131127 161256 174836 241884 262254 349672 393381 483768 524508 732371 786762 1049016 1464742 1573524 2197113 2694319 2929484 3147048 4394226 5388638 5858968 6591339 8082957 8788452 10777276 13182678 16165914 17576904 21554552 24248871 26365356 32331828 48497742 52730712 64663656 96995484 193990968 293680771 587361542 881042313 1174723084 1762084626 2349446168 2643126939 3524169252 5286253878 7048338504 10572507756 21145015512