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21082536319 = 1329460312149
BaseRepresentation
bin10011101000100111…
…011111100101111111
32000102021111210220111
4103220213133211333
5321134112130234
613403555530451
71344305413315
oct235047374577
960367453814
1021082536319
118a395a6639
1241045b9a27
131caca52780
14103dd9a0b5
15835d02664
hex4e89df97f

21082536319 has 16 divisors (see below), whose sum is σ = 23494212000. Its totient is φ = 18784112256.

The previous prime is 21082536317. The next prime is 21082536331. The reversal of 21082536319 is 91363528012.

It is not a de Polignac number, because 21082536319 - 21 = 21082536317 is a prime.

It is a super-2 number, since 2×210825363192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21082536317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729257 + ... + 1741405.

It is an arithmetic number, because the mean of its divisors is an integer number (1468388250).

Almost surely, 221082536319 is an apocalyptic number.

21082536319 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

21082536319 is a deficient number, since it is larger than the sum of its proper divisors (2411675681).

21082536319 is a wasteful number, since it uses less digits than its factorization.

21082536319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16794.

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 21082536319 in words is "twenty-one billion, eighty-two million, five hundred thirty-six thousand, three hundred nineteen".

Divisors: 1 13 29 377 4603 12149 59839 133487 157937 352321 1735331 4580173 55921847 726984011 1621733563 21082536319