Search a number
-
+
149846648941 = 11167223365791
BaseRepresentation
bin1000101110001110001…
…1100110100001101101
3112022210001220110202201
42023203203212201231
54423341220231231
6152501045421501
713553224333423
oct2134343464155
9468701813681
10149846648941
1158605588240
122505b40a891
13111908791a2
147377273113
153d703dc161
hex22e38e686d

149846648941 has 16 divisors (see below), whose sum is σ = 165185814528. Its totient is φ = 134800930800.

The previous prime is 149846648921. The next prime is 149846648951.

149846648941 is nontrivially palindromic in base 10.

149846648941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 149846648941 - 25 = 149846648909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149846648911) 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 15 ways as a sum of consecutive naturals, for example, 226756 + ... + 592546.

It is an arithmetic number, because the mean of its divisors is an integer number (10324113408).

Almost surely, 2149846648941 is an apocalyptic number.

149846648941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

149846648941 is a deficient number, since it is larger than the sum of its proper divisors (15339165587).

149846648941 is a wasteful number, since it uses less digits than its factorization.

149846648941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366192.

The product of its digits is 47775744, while the sum is 64.

The spelling of 149846648941 in words is "one hundred forty-nine billion, eight hundred forty-six million, six hundred forty-eight thousand, nine hundred forty-one".

Divisors: 1 11 167 223 1837 2453 37241 365791 409651 4023701 61087097 81571393 671958067 897285323 13622422631 149846648941