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11125162404 = 223457415981
BaseRepresentation
bin10100101110001110…
…01000000110100100
31001201022221210210000
422113013020012210
5140241020144104
65035534501300
7542456214546
oct122707100644
931638853700
1011125162404
1147999561a4
1221a5964830
131083b3b245
14777771696
15451a64639
hex2971c81a4

11125162404 has 60 divisors (see below), whose sum is σ = 29093301468. Its totient is φ = 3707121600.

The previous prime is 11125162387. The next prime is 11125162409. The reversal of 11125162404 is 40426152111.

11125162404 is a `hidden beast` number, since 1 + 1 + 1 + 251 + 6 + 2 + 404 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2327097600 + 8798064804 = 48240^2 + 93798^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11125162409) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1857094 + ... + 1863074.

Almost surely, 211125162404 is an apocalyptic number.

It is an amenable number.

11125162404 is an abundant number, since it is smaller than the sum of its proper divisors (17968139064).

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

11125162404 is a wasteful number, since it uses less digits than its factorization.

11125162404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11738 (or 11727 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11125162404 in words is "eleven billion, one hundred twenty-five million, one hundred sixty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 5741 5981 11482 11962 17223 17943 22964 23924 34446 35886 51669 53829 68892 71772 103338 107658 155007 161487 206676 215316 310014 322974 465021 484461 620028 645948 930042 968922 1860084 1937844 34336921 68673842 103010763 137347684 206021526 309032289 412043052 618064578 927096867 1236129156 1854193734 2781290601 3708387468 5562581202 11125162404