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829790980464 = 24317287312093
BaseRepresentation
bin11000001001100110110…
…01011000100101110000
32221022211120010100110110
430010303121120211300
5102043402442333324
61433111204301320
7113643664646325
oct14046331304560
92838746110413
10829790980464
1129aa04415306
1211499b3a1840
1360330c49c74
142c23ab20b4c
15168b88ce329
hexc133658970

829790980464 has 20 divisors (see below), whose sum is σ = 2143626699656. Its totient is φ = 276596993472.

The previous prime is 829790980451. The next prime is 829790980493. The reversal of 829790980464 is 464089097928.

It is a junction number, because it is equal to n+sod(n) for n = 829790980395 and 829790980404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8643655999 + ... + 8643656094.

Almost surely, 2829790980464 is an apocalyptic number.

It is an amenable number.

829790980464 is an abundant number, since it is smaller than the sum of its proper divisors (1313835719192).

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

829790980464 is a wasteful number, since it uses less digits than its factorization.

829790980464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17287312104 (or 17287312098 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 829790980464 in words is "eight hundred twenty-nine billion, seven hundred ninety million, nine hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 17287312093 34574624186 51861936279 69149248372 103723872558 138298496744 207447745116 276596993488 414895490232 829790980464