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13007832036 = 22337414431613
BaseRepresentation
bin11000001110101001…
…11100001111100100
31020120112112022222220
430013110330033210
5203120001111121
65550430552340
7640226514363
oct140724741744
936515468886
1013007832036
115575644811
1226303686b0
1312c3bb4844
148b58077da
15511e9c6c6
hex30753c3e4

13007832036 has 96 divisors (see below), whose sum is σ = 32024135808. Its totient is φ = 4104023040.

The previous prime is 13007832007. The next prime is 13007832037. The reversal of 13007832036 is 63023870031.

13007832036 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 = 13007831988 and 13007832006.

It is not an unprimeable number, because it can be changed into a prime (13007832037) 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 31 ways as a sum of consecutive naturals, for example, 8063566 + ... + 8065178.

It is an arithmetic number, because the mean of its divisors is an integer number (333584748).

Almost surely, 213007832036 is an apocalyptic number.

It is an amenable number.

13007832036 is an abundant number, since it is smaller than the sum of its proper divisors (19016303772).

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

13007832036 is a wasteful number, since it uses less digits than its factorization.

13007832036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 13007832036 in words is "thirteen billion, seven million, eight hundred thirty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 12 37 41 74 82 111 123 148 164 222 246 443 444 492 886 1329 1517 1613 1772 2658 3034 3226 4551 4839 5316 6068 6452 9102 9678 16391 18163 18204 19356 32782 36326 49173 54489 59681 65564 66133 72652 98346 108978 119362 132266 179043 196692 198399 217956 238724 264532 358086 396798 672031 714559 716172 793596 1344062 1429118 2016093 2143677 2446921 2688124 2858236 4032186 4287354 4893842 7340763 8064372 8574708 9787684 14681526 26438683 29296919 29363052 52877366 58593838 79316049 87890757 105754732 117187676 158632098 175781514 317264196 351563028 1083986003 2167972006 3251958009 4335944012 6503916018 13007832036