Search a number
-
+
16193086381561 = 1719314249346369
BaseRepresentation
bin1110101110100011111100…
…1010010101110111111001
32010100001012000212021122211
43223220333022111313321
54110301420103202221
654235000131215121
73260624530125505
oct353507712256771
963301160767584
1016193086381561
1151834a4122821
1219963b3a474a1
139060033874ab
143dda6cb2b305
151d13453ea6e1
hexeba3f295df9

16193086381561 has 16 divisors (see below), whose sum is σ = 17235717570000. Its totient is φ = 15160477483008.

The previous prime is 16193086381543. The next prime is 16193086381583. The reversal of 16193086381561 is 16518368039161.

It can be written as a sum of positive squares in 8 ways, for example, as 3504309120400 + 12688777261161 = 1871980^2 + 3562131^2 .

It is a cyclic number.

It is not a de Polignac number, because 16193086381561 - 217 = 16193086250489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 16193086381496 and 16193086381505.

It is not an unprimeable number, because it can be changed into a prime (16193083381561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46577785 + ... + 46924153.

It is an arithmetic number, because the mean of its divisors is an integer number (1077232348125).

Almost surely, 216193086381561 is an apocalyptic number.

It is an amenable number.

16193086381561 is a deficient number, since it is larger than the sum of its proper divisors (1042631188439).

16193086381561 is a wasteful number, since it uses less digits than its factorization.

16193086381561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360828.

The product of its (nonzero) digits is 5598720, while the sum is 58.

The spelling of 16193086381561 in words is "sixteen trillion, one hundred ninety-three billion, eighty-six million, three hundred eighty-one thousand, five hundred sixty-one".

Divisors: 1 17 193 3281 14249 242233 346369 2750057 5888273 46750969 66849217 1136436689 4935411881 83902001977 952534493033 16193086381561