Search a number
-
+
136161848161631 = 3172731721921787
BaseRepresentation
bin11110111101011010100110…
…100101110111010101011111
3122212002221112022102022210202
4132331122212211313111133
5120321333431112133011
61201331520044454115
740452240346663325
oct3675324645672537
9585087468368722
10136161848161631
113a426a08611a46
12133310b354a33b
135ac9012a35356
14258a3a9113d15
1510b1d3738c23b
hex7bd6a697755f

136161848161631 has 16 divisors (see below), whose sum is σ = 136666596543360. Its totient is φ = 135657592892640.

The previous prime is 136161848161627. The next prime is 136161848161667.

136161848161631 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 136161848161631 - 22 = 136161848161627 is a prime.

It is a super-3 number, since 3×1361618481616313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136161847161631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6249672320 + ... + 6249694106.

It is an arithmetic number, because the mean of its divisors is an integer number (8541662283960).

Almost surely, 2136161848161631 is an apocalyptic number.

136161848161631 is a deficient number, since it is larger than the sum of its proper divisors (504748381729).

136161848161631 is a wasteful number, since it uses less digits than its factorization.

136161848161631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32054.

The product of its digits is 2985984, while the sum is 56.

The spelling of 136161848161631 in words is "one hundred thirty-six trillion, one hundred sixty-one billion, eight hundred forty-eight million, one hundred sixty-one thousand, six hundred thirty-one".

Divisors: 1 317 2731 7219 21787 865727 2288423 6906479 19715089 59500297 157280353 6249683213 18861594149 49857871901 429532644043 136161848161631