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13198738816 = 27195427113
BaseRepresentation
bin11000100101011010…
…01100010110000000
31021001211202101212101
430102231030112000
5204012334120231
610021410440144
7645035300044
oct142255142600
937054671771
1013198738816
11566338690a
122684293054
131324606c33
148d2d00024
15523b0c661
hex312b4c580

13198738816 has 32 divisors (see below), whose sum is σ = 27678281400. Its totient is φ = 6252033024.

The previous prime is 13198738811. The next prime is 13198738837. The reversal of 13198738816 is 61883789131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13198738811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2711125 + ... + 2715988.

Almost surely, 213198738816 is an apocalyptic number.

13198738816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13198738816 is an abundant number, since it is smaller than the sum of its proper divisors (14479542584).

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

13198738816 is an equidigital number, since it uses as much as digits as its factorization.

13198738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427146 (or 5427134 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 55.

The spelling of 13198738816 in words is "thirteen billion, one hundred ninety-eight million, seven hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2432 5427113 10854226 21708452 43416904 86833808 103115147 173667616 206230294 347335232 412460588 694670464 824921176 1649842352 3299684704 6599369408 13198738816