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13221443236416 = 263435715804839
BaseRepresentation
bin1100000001100101101101…
…1011010111001001000000
31201210221212010000111012020
43000121123123113021000
53213110003432031131
644041502553401440
72533134455142552
oct300313333271100
951727763014166
1013221443236416
11423820102a888
1215964a2709280
1374ba1368b65c
14339cc7d574d2
1517ddc040c996
hexc065b6d7240

13221443236416 has 56 divisors (see below), whose sum is σ = 34989766301760. Its totient is φ = 4406135956992.

The previous prime is 13221443236387. The next prime is 13221443236447. The reversal of 13221443236416 is 61463234412231.

It is a super-2 number, since 2×132214432364162 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7065876 + ... + 8738963.

Almost surely, 213221443236416 is an apocalyptic number.

13221443236416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13221443236416 is an abundant number, since it is smaller than the sum of its proper divisors (21768323065344).

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

13221443236416 is a wasteful number, since it uses less digits than its factorization.

13221443236416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15809211 (or 15809201 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

Adding to 13221443236416 its reverse (61463234412231), we get a palindrome (74684677648647).

The spelling of 13221443236416 in words is "thirteen trillion, two hundred twenty-one billion, four hundred forty-three million, two hundred thirty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 4357 8714 13071 17428 26142 34856 52284 69712 104568 139424 209136 278848 418272 836544 15804839 31609678 47414517 63219356 94829034 126438712 189658068 252877424 379316136 505754848 758632272 1011509696 1517264544 3034529088 68861683523 137723367046 206585050569 275446734092 413170101138 550893468184 826340202276 1101786936368 1652680404552 2203573872736 3305360809104 4407147745472 6610721618208 13221443236416