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11381126004 = 22321492121761
BaseRepresentation
bin10101001100101111…
…00011001101110100
31002101011121002211100
422212113203031310
5141302032013004
65121201010100
7552014655243
oct124627431564
932334532740
1011381126004
114910392466
122257623930
1310c4b8b1b1
1479d76095a
15469275739
hex2a65e3374

11381126004 has 36 divisors (see below), whose sum is σ = 28962051300. Its totient is φ = 3768245760.

The previous prime is 11381125991. The next prime is 11381126011. The reversal of 11381126004 is 40062118311.

It is a happy number.

11381126004 is a `hidden beast` number, since 11 + 38 + 1 + 12 + 600 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1062629604 + 10318496400 = 32598^2 + 101580^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1055517 + ... + 1066244.

It is an arithmetic number, because the mean of its divisors is an integer number (804501425).

Almost surely, 211381126004 is an apocalyptic number.

It is an amenable number.

11381126004 is an abundant number, since it is smaller than the sum of its proper divisors (17580925296).

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

11381126004 is a wasteful number, since it uses less digits than its factorization.

11381126004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121920 (or 2121915 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11381126004 in words is "eleven billion, three hundred eighty-one million, one hundred twenty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 2121761 4243522 6365283 8487044 12730566 19095849 25461132 38191698 76383396 316142389 632284778 948427167 1264569556 1896854334 2845281501 3793708668 5690563002 11381126004