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828194907969 = 3211131229523603
BaseRepresentation
bin11000000110101000100…
…00110110011101000001
32221011201022211110121100
430003110100312131001
5102032120344023334
61432244551045013
7113556304364622
oct14032420663501
92834638743540
10828194907969
1129a265486430
12114614970769
136013838aa80
142c128b6da49
1516823708c99
hexc0d4436741

828194907969 has 48 divisors (see below), whose sum is σ = 1406567897280. Its totient is φ = 462947944320.

The previous prime is 828194907937. The next prime is 828194907973. The reversal of 828194907969 is 969709491828.

828194907969 is a `hidden beast` number, since 8 + 2 + 8 + 1 + 9 + 490 + 79 + 69 = 666.

It is not a de Polignac number, because 828194907969 - 25 = 828194907937 is a prime.

It is a super-2 number, since 2×8281949079692 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 828194907897 and 828194907906.

It is not an unprimeable number, because it can be changed into a prime (828194907269) 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, 1319922 + ... + 1843524.

It is an arithmetic number, because the mean of its divisors is an integer number (29303497860).

Almost surely, 2828194907969 is an apocalyptic number.

It is an amenable number.

828194907969 is a deficient number, since it is larger than the sum of its proper divisors (578372989311).

828194907969 is a wasteful number, since it uses less digits than its factorization.

828194907969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524862 (or 524859 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 828194907969 in words is "eight hundred twenty-eight billion, one hundred ninety-four million, nine hundred seven thousand, nine hundred sixty-nine".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1229 1287 3687 11061 13519 15977 40557 47931 121671 143793 175747 523603 527241 1570809 1581723 4712427 5759633 6806839 17278899 20420517 51836697 61261551 74875229 224625687 643508087 673877061 1930524261 5791572783 7078588957 8365605131 21235766871 25096815393 63707300613 75290446179 92021656441 276064969323 828194907969