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13111999964 = 2272674192383
BaseRepresentation
bin11000011011000100…
…10011110111011100
31020211210112121112022
430031202103313130
5203323132444324
610005031355312
7642633106100
oct141542236734
936753477468
1013111999964
115619422708
12265b222b38
13130c65747b
148c55a1900
1551b1c705e
hex30d893ddc

13111999964 has 72 divisors (see below), whose sum is σ = 27166728960. Its totient is φ = 5520027744.

The previous prime is 13111999963. The next prime is 13112000003. The reversal of 13111999964 is 46999911131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111999961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5501117 + ... + 5503499.

It is an arithmetic number, because the mean of its divisors is an integer number (377315680).

Almost surely, 213111999964 is an apocalyptic number.

13111999964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111999964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13583364480).

13111999964 is an abundant number, since it is smaller than the sum of its proper divisors (14054728996).

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

13111999964 is a wasteful number, since it uses less digits than its factorization.

13111999964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2878 counting only the distinct ones).

The product of its digits is 472392, while the sum is 53.

The spelling of 13111999964 in words is "thirteen billion, one hundred eleven million, nine hundred ninety-nine thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 419 469 838 938 1676 1876 2383 2933 3283 4766 5866 6566 9532 11732 13132 16681 20531 28073 33362 41062 56146 66724 82124 112292 116767 159661 196511 233534 319322 393022 467068 638644 786044 998477 1117627 1375577 1996954 2235254 2751154 3993908 4470508 5502308 6989339 7823389 13978678 15646778 27957356 31293556 48925373 66897959 97850746 133795918 195701492 267591836 468285713 936571426 1873142852 3277999991 6555999982 13111999964