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21000644600012 = 227111571097395891
BaseRepresentation
bin1001100011001100101111…
…11101100010000011001100
32202100122100000211000010022
410301212113331202003030
510223033310004200022
6112355321332401312
74265150356544150
oct461462775420314
982318300730108
1021000644600012
116767361433510
122432095476238
13b94476c926ac
1452861813b060
1526641cec9c42
hex131997f620cc

21000644600012 has 96 divisors (see below), whose sum is σ = 46153583433216. Its totient is φ = 8122522636800.

The previous prime is 21000644599999. The next prime is 21000644600029.

21000644600012 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52848587 + ... + 53244477.

It is an arithmetic number, because the mean of its divisors is an integer number (480766494096).

Almost surely, 221000644600012 is an apocalyptic number.

21000644600012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000644600012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23076791716608).

21000644600012 is an abundant number, since it is smaller than the sum of its proper divisors (25152938833204).

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

21000644600012 is a wasteful number, since it uses less digits than its factorization.

21000644600012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397167 (or 397165 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 2100064 and 4600012, that added together give a palindrome (6700076).

The spelling of 21000644600012 in words is "twenty-one trillion, six hundred forty-four million, six hundred thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 157 308 314 628 1097 1099 1727 2194 2198 3454 4388 4396 6908 7679 12067 12089 15358 24134 24178 30716 48268 48356 84469 168938 172229 337876 344458 395891 688916 791782 1205603 1583564 1894519 2411206 2771237 3789038 4354801 4822412 5542474 7578076 8709602 11084948 13261633 17419204 26523266 30483607 53046532 60967214 62154887 121934428 124309774 248619548 434292427 435084209 683703757 868584854 870168418 1367407514 1737169708 1740336836 2734815028 3040046989 4777216697 4785926299 6080093978 9554433394 9571852598 12160187956 19108866788 19143705196 33440516879 66881033758 68183911039 133762067516 136367822078 272735644156 477287377273 750023021429 954574754546 1500046042858 1909149509092 3000092085716 5250161150003 10500322300006 21000644600012