Search a number
-
+
13112776000 = 26531639097
BaseRepresentation
bin11000011011001010…
…10001010101000000
31020211212000001001101
430031211101111000
5203323332313000
610005100144144
7642642520432
oct141545212500
936755001041
1013112776000
115619902765
12265b538054
13130c86976c
148c5724652
1551b2cbe6a
hex30d951540

13112776000 has 56 divisors (see below), whose sum is σ = 32473809576. Its totient is φ = 5245107200.

The previous prime is 13112775959. The next prime is 13112776009. The reversal of 13112776000 is 67721131.

It can be written as a sum of positive squares in 4 ways, for example, as 2734871616 + 10377904384 = 52296^2 + 101872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13112776000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112776009) 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 7 ways as a sum of consecutive naturals, for example, 811549 + ... + 827548.

Almost surely, 213112776000 is an apocalyptic number.

13112776000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13112776000 is an abundant number, since it is smaller than the sum of its proper divisors (19361033576).

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

13112776000 is an equidigital number, since it uses as much as digits as its factorization.

13112776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639124 (or 1639104 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The spelling of 13112776000 in words is "thirteen billion, one hundred twelve million, seven hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 1639097 3278194 6556388 8195485 13112776 16390970 26225552 32781940 40977425 52451104 65563880 81954850 104902208 131127760 163909700 204887125 262255520 327819400 409774250 524511040 655638800 819548500 1311277600 1639097000 2622555200 3278194000 6556388000 13112776000