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21336456040 = 23510143312197
BaseRepresentation
bin10011110111110000…
…000111101101101000
32001001222022021021121
4103313300013231220
5322144113043130
613445110145024
71353510612124
oct236760075550
961058267247
1021336456040
119059967249
124175652174
132020538323
1410659b6584
1584d25cd7a
hex4f7c07b68

21336456040 has 64 divisors (see below), whose sum is σ = 48598295760. Its totient is φ = 8429875200.

The previous prime is 21336456019. The next prime is 21336456041. The reversal of 21336456040 is 4065463312.

It can be written as a sum of positive squares in 8 ways, for example, as 12960911716 + 8375544324 = 113846^2 + 91518^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21336455987 and 21336456005.

It is not an unprimeable number, because it can be changed into a prime (21336456041) 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 15 ways as a sum of consecutive naturals, for example, 1743222 + ... + 1755418.

Almost surely, 221336456040 is an apocalyptic number.

21336456040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21336456040 is an abundant number, since it is smaller than the sum of its proper divisors (27261839720).

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

21336456040 is a wasteful number, since it uses less digits than its factorization.

21336456040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12742 (or 12738 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 21336456040 in words is "twenty-one billion, three hundred thirty-six million, four hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 433 505 808 866 1010 1732 2020 2165 3464 4040 4330 8660 12197 17320 24394 43733 48788 60985 87466 97576 121970 174932 218665 243940 349864 437330 487880 874660 1231897 1749320 2463794 4927588 5281301 6159485 9855176 10562602 12318970 21125204 24637940 26406505 42250408 49275880 52813010 105626020 211252040 533411401 1066822802 2133645604 2667057005 4267291208 5334114010 10668228020 21336456040