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10662999828 = 223131753107709
BaseRepresentation
bin10011110111001000…
…00111011100010100
31000112010022111220120
421323210013130110
5133314211443303
64522025031540
7525145001025
oct117344073424
930463274816
1010662999828
114581a92658
1220970255b0
13100c173570
14732228c4c
154261c2553
hex27b907714

10662999828 has 192 divisors, whose sum is σ = 29216920320. Its totient is φ = 2997116928.

The previous prime is 10662999827. The next prime is 10662999871. The reversal of 10662999828 is 82899926601.

10662999828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106629998282 (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 (10662999827) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 15039138 + ... + 15039846.

It is an arithmetic number, because the mean of its divisors is an integer number (152171460).

Almost surely, 210662999828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10662999828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608460160).

10662999828 is an abundant number, since it is smaller than the sum of its proper divisors (18553920492).

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

10662999828 is a wasteful number, since it uses less digits than its factorization.

10662999828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The spelling of 10662999828 in words is "ten billion, six hundred sixty-two million, nine hundred ninety-nine thousand, eight hundred twenty-eight".