Search a number
-
+
11362520388141 = 3213349942129537
BaseRepresentation
bin1010010101011000101011…
…1111011101001000101101
31111020020122120201111100200
42211112022333131020231
52442130420204410031
640055511513344113
72251625563506036
oct245261277351055
944206576644320
1011362520388141
1136908aa5a217a
121336171108039
13645633bca270
142b3d3dba7a8d
1514a8729c28e6
hexa558afdd22d

11362520388141 has 48 divisors (see below), whose sum is σ = 17728158193200. Its totient is φ = 6971308830720.

The previous prime is 11362520388137. The next prime is 11362520388161. The reversal of 11362520388141 is 14188302526311.

11362520388141 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 2 + 520 + 3 + 8 + 81 + 41 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2954115312516 + 8408405075625 = 1718754^2 + 2899725^2 .

It is not a de Polignac number, because 11362520388141 - 22 = 11362520388137 is a prime.

It is a super-3 number, since 3×113625203881413 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11362520388161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384672925 + ... + 384702461.

It is an arithmetic number, because the mean of its divisors is an integer number (369336629025).

Almost surely, 211362520388141 is an apocalyptic number.

It is an amenable number.

11362520388141 is a deficient number, since it is larger than the sum of its proper divisors (6365637805059).

11362520388141 is a wasteful number, since it uses less digits than its factorization.

11362520388141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39326 (or 39323 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11362520388141 in words is "eleven trillion, three hundred sixty-two billion, five hundred twenty million, three hundred eighty-eight thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 117 349 1047 3141 4537 9421 13611 28263 29537 40833 84789 88611 122473 265833 367419 383981 1102257 1151943 3287929 3455829 9863787 10308413 29591361 30925239 42743077 92775717 128229231 134009369 278268077 384687693 402028107 834804231 1206084321 2504412693 3617485001 10852455003 32557365009 97115558873 291346676619 874040029857 1262502265349 3787506796047 11362520388141