Search a number
-
+
15330018186 = 23272107162439
BaseRepresentation
bin11100100011011110…
…11000001110001010
31110120101010121112100
432101233120032022
5222343441040221
611013103254230
71051615001400
oct162157301612
943511117470
1015330018186
11655743961a
122b79baa376
1315a40271a2
14a55dad470
155eaca2926
hex391bd838a

15330018186 has 72 divisors (see below), whose sum is σ = 38999244960. Its totient is φ = 4339043856.

The previous prime is 15330018157. The next prime is 15330018199. The reversal of 15330018186 is 68181003351.

15330018186 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15330018186.

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 35 ways as a sum of consecutive naturals, for example, 13155 + ... + 175593.

It is an arithmetic number, because the mean of its divisors is an integer number (541656180).

Almost surely, 215330018186 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15330018186, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19499622480).

15330018186 is an abundant number, since it is smaller than the sum of its proper divisors (23669226774).

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

15330018186 is a wasteful number, since it uses less digits than its factorization.

15330018186 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162568 (or 162558 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 15330018186 in words is "fifteen billion, three hundred thirty million, eighteen thousand, one hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 107 126 147 214 294 321 441 642 749 882 963 1498 1926 2247 4494 5243 6741 10486 13482 15729 31458 47187 94374 162439 324878 487317 974634 1137073 1461951 2274146 2923902 3411219 6822438 7959511 10233657 15919022 17380973 20467314 23878533 34761946 47757066 52142919 71635599 104285838 121666811 143271198 156428757 243333622 312857514 365000433 730000866 851667677 1095001299 1703335354 2190002598 2555003031 5110006062 7665009093 15330018186