Search a number
-
+
11413699164 = 22327231208721
BaseRepresentation
bin10101010000100111…
…10011101001011100
31002110102212222210200
422220103303221130
5141333401333124
65124323103500
7552561561600
oct125023635134
932412788720
1011413699164
11492781012a
122266511b90
1310cb85445a
147a3bdd500
1546c05bbc9
hex2a84f3a5c

11413699164 has 108 divisors (see below), whose sum is σ = 34644512448. Its totient is φ = 3155846400.

The previous prime is 11413699163. The next prime is 11413699177. The reversal of 11413699164 is 46199631411.

11413699164 is a `hidden beast` number, since 1 + 141 + 369 + 91 + 64 = 666.

11413699164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11413699163) 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 35 ways as a sum of consecutive naturals, for example, 49677 + ... + 159044.

Almost surely, 211413699164 is an apocalyptic number.

11413699164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11413699164 is an abundant number, since it is smaller than the sum of its proper divisors (23230813284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11413699164 is a wasteful number, since it uses less digits than its factorization.

11413699164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208776 (or 208764 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The spelling of 11413699164 in words is "eleven billion, four hundred thirteen million, six hundred ninety-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 651 868 882 1116 1302 1519 1764 1953 2604 3038 3906 4557 6076 7812 9114 13671 18228 27342 54684 208721 417442 626163 834884 1252326 1461047 1878489 2504652 2922094 3756978 4383141 5844188 6470351 7513956 8766282 10227329 12940702 13149423 17532564 19411053 20454658 25881404 26298846 30681987 38822106 40909316 45292457 52597692 58233159 61363974 77644212 90584914 92045961 116466318 122727948 135877371 181169828 184091922 232932636 271754742 317047199 368183844 407632113 543509484 634094398 815264226 951141597 1268188796 1630528452 1902283194 2853424791 3804566388 5706849582 11413699164