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13034035692 = 22322388717747
BaseRepresentation
bin11000010001110001…
…11001100111101100
31020122100211121122200
430020320321213230
5203143203120232
65553204341500
7640665322026
oct141070714754
936570747580
1013034035692
115589411a27
1226390a4890
1312c945a872
148b90a9016
1551442677c
hex308e399ec

13034035692 has 72 divisors (see below), whose sum is σ = 34420329216. Its totient is φ = 4150860384.

The previous prime is 13034035661. The next prime is 13034035697. The reversal of 13034035692 is 29653043031.

It is a happy number.

13034035692 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13034035697) 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 23 ways as a sum of consecutive naturals, for example, 725563 + ... + 743309.

It is an arithmetic number, because the mean of its divisors is an integer number (478060128).

Almost surely, 213034035692 is an apocalyptic number.

13034035692 is a gapful number since it is divisible by the number (12) 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 13034035692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17210164608).

13034035692 is an abundant number, since it is smaller than the sum of its proper divisors (21386293524).

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

13034035692 is a wasteful number, since it uses less digits than its factorization.

13034035692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18667 (or 18662 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 13034035692 in words is "thirteen billion, thirty-four million, thirty-five thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 887 1774 2661 3548 5322 7983 10644 15966 17747 20401 31932 35494 40802 53241 61203 70988 81604 106482 122406 159723 183609 212964 244812 319446 367218 408181 638892 734436 816362 1224543 1632724 2449086 3673629 4898172 7347258 14694516 15741589 31483178 47224767 62966356 94449534 141674301 188899068 283348602 362056547 566697204 724113094 1086169641 1448226188 2172339282 3258508923 4344678564 6517017846 13034035692