Search a number
-
+
11554126157 = 73193157191
BaseRepresentation
bin10101100001010110…
…11111100101001101
31002211020010102102102
422300223133211031
5142130324014112
65150301004445
7556215311000
oct126053374515
932736112372
1011554126157
11499a003aa2
1222a5553725
131121980c52
147b8715537
15479549bc2
hex2b0adf94d

11554126157 has 32 divisors (see below), whose sum is σ = 14641152000. Its totient is φ = 9079484400.

The previous prime is 11554126151. The next prime is 11554126223. The reversal of 11554126157 is 75162145511.

It is not a de Polignac number, because 11554126157 - 216 = 11554060621 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11554126157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11554126151) 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, 173432 + ... + 230622.

It is an arithmetic number, because the mean of its divisors is an integer number (457536000).

Almost surely, 211554126157 is an apocalyptic number.

It is an amenable number.

11554126157 is a deficient number, since it is larger than the sum of its proper divisors (3087025843).

11554126157 is an equidigital number, since it uses as much as digits as its factorization.

11554126157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57262 (or 57248 counting only the distinct ones).

The product of its digits is 42000, while the sum is 38.

The spelling of 11554126157 in words is "eleven billion, five hundred fifty-four million, one hundred twenty-six thousand, one hundred fifty-seven".

Divisors: 1 7 19 31 49 133 217 343 589 931 1519 4123 6517 10633 28861 57191 202027 400337 1086629 1772921 2802359 7606403 12410447 19616513 33685499 53244821 86873129 235798493 372713747 608111903 1650589451 11554126157