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13438248681 = 31113131239119
BaseRepresentation
bin11001000001111101…
…10110011011101001
31021200112102202122010
430200332312123221
5210010142424211
610101244150133
7654004141404
oct144076663351
937615382563
1013438248681
1157765a5150
122730538349
131362115950
14916a48d3b
15539b6d4a6
hex320fb66e9

13438248681 has 32 divisors (see below), whose sum is σ = 21210900480. Its totient is φ = 7460481600.

The previous prime is 13438248611. The next prime is 13438248701. The reversal of 13438248681 is 18684283431.

It is not a de Polignac number, because 13438248681 - 213 = 13438240489 is a prime.

It is a super-2 number, since 2×134382486812 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13438248681.

It is not an unprimeable number, because it can be changed into a prime (13438248611) 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 31 ways as a sum of consecutive naturals, for example, 63361 + ... + 175758.

It is an arithmetic number, because the mean of its divisors is an integer number (662840640).

Almost surely, 213438248681 is an apocalyptic number.

13438248681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13438248681 is a deficient number, since it is larger than the sum of its proper divisors (7772651799).

13438248681 is a wasteful number, since it uses less digits than its factorization.

13438248681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239277.

The product of its digits is 884736, while the sum is 48.

The spelling of 13438248681 in words is "thirteen billion, four hundred thirty-eight million, two hundred forty-eight thousand, six hundred eighty-one".

Divisors: 1 3 11 13 33 39 131 143 393 429 1441 1703 4323 5109 18733 56199 239119 717357 2630309 3108547 7890927 9325641 31324589 34194017 93973767 102582051 344570479 407219657 1033711437 1221658971 4479416227 13438248681