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13079760336 = 2433231316401
BaseRepresentation
bin11000010111001110…
…10100110111010000
31020202112212200002000
430023213110313100
5203241404312321
610001520354000
7642062062026
oct141347246720
936675780060
1013079760336
115602202595
122650475900
131305a79c76
148c11ac716
15518459826
hex30b9d4dd0

13079760336 has 80 divisors (see below), whose sum is σ = 39176123520. Its totient is φ = 4170355200.

The previous prime is 13079760299. The next prime is 13079760371. The reversal of 13079760336 is 63306797031.

13079760336 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 9 + 7 + 603 + 36 = 666.

13079760336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13079760291 and 13079760300.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 648265 + ... + 668136.

It is an arithmetic number, because the mean of its divisors is an integer number (489701544).

Almost surely, 213079760336 is an apocalyptic number.

13079760336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13079760336 is an abundant number, since it is smaller than the sum of its proper divisors (26096363184).

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

13079760336 is a wasteful number, since it uses less digits than its factorization.

13079760336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316441 (or 1316429 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The spelling of 13079760336 in words is "thirteen billion, seventy-nine million, seven hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 1316401 2632802 3949203 5265604 7898406 10531208 11847609 15796812 21062416 23695218 30277223 31593624 35542827 47390436 60554446 63187248 71085654 90831669 94780872 121108892 142171308 181663338 189561744 242217784 272495007 284342616 363326676 484435568 544990014 568685232 726653352 817485021 1089980028 1453306704 1634970042 2179960056 3269940084 4359920112 6539880168 13079760336