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13006352036 = 2219237243437
BaseRepresentation
bin11000001110011110…
…10010111010100100
31020120102202010211002
430013033102322210
5203114111231121
65550335132432
7640211111456
oct140717227244
936512663732
1013006352036
115574823877
12262b974118
1312c37b6cc2
148b55402d6
15511ca8e0b
hex3073d2ea4

13006352036 has 36 divisors (see below), whose sum is σ = 24671467548. Its totient is φ = 5994368064.

The previous prime is 13006351957. The next prime is 13006352053. The reversal of 13006352036 is 63025360031.

It is a happy number.

13006352036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8774068900 + 4232283136 = 93670^2 + 65056^2 .

It is a super-2 number, since 2×130063520362 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 68291 + ... + 175146.

It is an arithmetic number, because the mean of its divisors is an integer number (685318543).

Almost surely, 213006352036 is an apocalyptic number.

It is an amenable number.

13006352036 is a deficient number, since it is larger than the sum of its proper divisors (11665115512).

13006352036 is a wasteful number, since it uses less digits than its factorization.

13006352036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243516 (or 243495 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

The spelling of 13006352036 in words is "thirteen billion, six million, three hundred fifty-two thousand, thirty-six".

Divisors: 1 2 4 19 37 38 74 76 148 361 703 722 1406 1444 2812 13357 26714 53428 243437 486874 973748 4625303 9007169 9250606 18014338 18501212 36028676 87880757 171136211 175761514 342272422 351523028 684544844 3251588009 6503176018 13006352036