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11828416404 = 2237532656877
BaseRepresentation
bin10110000010000011…
…10100111110010100
31010112100020210220110
423001001310332110
5143211033311104
65233420003020
7566055611010
oct130101647624
933470223813
1011828416404
11501a918352
122361390470
13116674977c
14802d15540
1549367ae89
hex2c1074f94

11828416404 has 48 divisors (see below), whose sum is σ = 32137596288. Its totient is φ = 3315781248.

The previous prime is 11828416387. The next prime is 11828416409. The reversal of 11828416404 is 40461482811.

It is a happy number.

It is a super-2 number, since 2×118284164042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11828416409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323987 + ... + 1332890.

It is an arithmetic number, because the mean of its divisors is an integer number (669533256).

Almost surely, 211828416404 is an apocalyptic number.

11828416404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11828416404 is an abundant number, since it is smaller than the sum of its proper divisors (20309179884).

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

11828416404 is a wasteful number, since it uses less digits than its factorization.

11828416404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656944 (or 2656942 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 11828416404 in words is "eleven billion, eight hundred twenty-eight million, four hundred sixteen thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 2656877 5313754 7970631 10627508 15941262 18598139 31882524 37196278 55794417 74392556 111588834 140814481 223177668 281628962 422443443 563257924 844886886 985701367 1689773772 1971402734 2957104101 3942805468 5914208202 11828416404