Search a number
-
+
11982916141 = 721991228891
BaseRepresentation
bin10110010100011110…
…01100101000101101
31010221002222012200221
423022033030220231
5144020111304031
65301015251341
7602643051400
oct131217145055
933832865627
1011982916141
11509a053289
1223a5079b51
13118c762831
14819651d37
154a1ee8a11
hex2ca3cca2d

11982916141 has 12 divisors (see below), whose sum is σ = 14009368800. Its totient is φ = 10219449240.

The previous prime is 11982916133. The next prime is 11982916151. The reversal of 11982916141 is 14161928911.

11982916141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11982916141 - 23 = 11982916133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11982916151) 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 11 ways as a sum of consecutive naturals, for example, 604695 + ... + 624196.

It is an arithmetic number, because the mean of its divisors is an integer number (1167447400).

Almost surely, 211982916141 is an apocalyptic number.

It is an amenable number.

11982916141 is a deficient number, since it is larger than the sum of its proper divisors (2026452659).

11982916141 is a wasteful number, since it uses less digits than its factorization.

11982916141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229104 (or 1229097 counting only the distinct ones).

The product of its digits is 31104, while the sum is 43.

The spelling of 11982916141 in words is "eleven billion, nine hundred eighty-two million, nine hundred sixteen thousand, one hundred forty-one".

Divisors: 1 7 49 199 1393 9751 1228891 8602237 60215659 244549309 1711845163 11982916141