Search a number
-
+
17886002141 = 7172331210803
BaseRepresentation
bin10000101010000101…
…101011101111011101
31201011111200001100202
4100222011223233131
5243112304032031
612114451033245
71202142336560
oct205205535735
951144601322
1017886002141
117649200157
123571b9b825
1318c0728627
14c196344d7
156ea38b2cb
hex42a16bbdd

17886002141 has 32 divisors (see below), whose sum is σ = 23313235968. Its totient is φ = 13356414720.

The previous prime is 17886002137. The next prime is 17886002149. The reversal of 17886002141 is 14120068871.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 17886002141 - 22 = 17886002137 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 17886002095 and 17886002104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17886002149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20555 + ... + 190248.

It is an arithmetic number, because the mean of its divisors is an integer number (728538624).

Almost surely, 217886002141 is an apocalyptic number.

It is an amenable number.

17886002141 is a deficient number, since it is larger than the sum of its proper divisors (5427233827).

17886002141 is a wasteful number, since it uses less digits than its factorization.

17886002141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210881.

The product of its (nonzero) digits is 21504, while the sum is 38.

The spelling of 17886002141 in words is "seventeen billion, eight hundred eighty-six million, two thousand, one hundred forty-one".

Divisors: 1 7 17 23 31 119 161 217 391 527 713 2737 3689 4991 12121 84847 210803 1475621 3583651 4848469 6534893 25085557 33939283 45744251 82423973 111093181 150302539 576967811 777652267 1052117773 2555143163 17886002141