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13427780508 = 223611340751
BaseRepresentation
bin11001000000101101…
…11010101110011100
31021122210201221000000
430200112322232130
5210000002434013
610100231534300
7653516152062
oct144026725634
937583657000
1013427780508
1157706a526a
122728b2a390
13135cbbbc6c
149154c2032
15538ca1973
hex3205bab9c

13427780508 has 84 divisors (see below), whose sum is σ = 35544464928. Its totient is φ = 4436208000.

The previous prime is 13427780501. The next prime is 13427780521. The reversal of 13427780508 is 80508772431.

13427780508 is a `hidden beast` number, since 134 + 2 + 7 + 7 + 8 + 0 + 508 = 666.

13427780508 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13427780501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 309133 + ... + 349883.

It is an arithmetic number, because the mean of its divisors is an integer number (423148392).

Almost surely, 213427780508 is an apocalyptic number.

13427780508 is a gapful number since it is divisible by the number (18) 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 13427780508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772232464).

13427780508 is an abundant number, since it is smaller than the sum of its proper divisors (22116684420).

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

13427780508 is a wasteful number, since it uses less digits than its factorization.

13427780508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40886 (or 40869 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 13427780508 in words is "thirteen billion, four hundred twenty-seven million, seven hundred eighty thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 452 486 678 729 972 1017 1356 1458 2034 2916 3051 4068 6102 9153 12204 18306 27459 36612 40751 54918 81502 82377 109836 122253 163004 164754 244506 329508 366759 489012 733518 1100277 1467036 2200554 3300831 4401108 4604863 6601662 9209726 9902493 13203324 13814589 18419452 19804986 27629178 29707479 39609972 41443767 55258356 59414958 82887534 118829916 124331301 165775068 248662602 372993903 497325204 745987806 1118981709 1491975612 2237963418 3356945127 4475926836 6713890254 13427780508