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11826135378 = 2333115534549
BaseRepresentation
bin10110000001110010…
…01000000101010010
31010112011221220221000
423000321020011102
5143204442313003
65233255042430
7566030330541
oct130071100522
933464856830
1011826135378
1150195aa602
122360670416
13116612b455
148028c0158
1549337a1a3
hex2c0e48152

11826135378 has 64 divisors (see below), whose sum is σ = 27151488000. Its totient is φ = 3811587840.

The previous prime is 11826135353. The next prime is 11826135379. The reversal of 11826135378 is 87353162811.

It is a happy number.

11826135378 is a `hidden beast` number, since 1 + 18 + 261 + 3 + 5 + 378 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11826135379) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2597448 + ... + 2601996.

It is an arithmetic number, because the mean of its divisors is an integer number (424242000).

Almost surely, 211826135378 is an apocalyptic number.

11826135378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11826135378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575744000).

11826135378 is an abundant number, since it is smaller than the sum of its proper divisors (15325352622).

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

11826135378 is a wasteful number, since it uses less digits than its factorization.

11826135378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6144 (or 6138 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 11826135378 in words is "eleven billion, eight hundred twenty-six million, one hundred thirty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1553 1674 3106 4549 4659 9098 9318 13647 13977 27294 27954 40941 41931 48143 81882 83862 96286 122823 141019 144429 245646 282038 288858 423057 433287 846114 866574 1269171 1299861 2538342 2599722 3807513 7064597 7615026 14129194 21193791 42387582 63581373 127162746 190744119 219002507 381488238 438005014 657007521 1314015042 1971022563 3942045126 5913067689 11826135378