Search a number
-
+
11377314405 = 3351974191021
BaseRepresentation
bin10101001100010010…
…00000101001100101
31002100220102110022000
422212021000221211
5141300043030110
65120543155513
7551640401562
oct124611005145
932326373260
1011377314405
114909219786
1222562a5b99
1310c4155302
1479d04b869
15468c711c0
hex2a6240a65

11377314405 has 64 divisors (see below), whose sum is σ = 20397484800. Its totient is φ = 6016792320.

The previous prime is 11377314367. The next prime is 11377314407. The reversal of 11377314405 is 50441377311.

It is a happy number.

11377314405 is a `hidden beast` number, since 113 + 77 + 31 + 440 + 5 = 666.

It is not a de Polignac number, because 11377314405 - 26 = 11377314341 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11377314405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11377314407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11142795 + ... + 11143815.

It is an arithmetic number, because the mean of its divisors is an integer number (318710700).

Almost surely, 211377314405 is an apocalyptic number.

11377314405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11377314405 is a deficient number, since it is larger than the sum of its proper divisors (9020170395).

11377314405 is a wasteful number, since it uses less digits than its factorization.

11377314405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 11377314405 in words is "eleven billion, three hundred seventy-seven million, three hundred fourteen thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 135 197 419 591 985 1021 1257 1773 2095 2955 3063 3771 5105 5319 6285 8865 9189 11313 15315 18855 26595 27567 45945 56565 82543 137835 201137 247629 412715 427799 603411 742887 1005685 1238145 1283397 1810233 2138995 2228661 3017055 3714435 3850191 5430699 6416985 9051165 11143305 11550573 19250955 27153495 57752865 84276403 252829209 421382015 758487627 1264146045 2275462881 3792438135 11377314405