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1299456404136 = 23341117139179431
BaseRepresentation
bin10010111010001101101…
…000110010101010101000
311121020010100110220220000
4102322031220302222220
5132242241314413021
62432543444303000
7162611512121652
oct22721550625250
94536110426800
101299456404136
11461107299610
1218ba153a1a60
13956cc5b9b97
1446c732c56d2
1523c06349b26
hex12e8da32aa8

1299456404136 has 640 divisors, whose sum is σ = 4267904256000. Its totient is φ = 365040691200.

The previous prime is 1299456404123. The next prime is 1299456404171. The reversal of 1299456404136 is 6314046549921.

1299456404136 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 4 + 564 + 0 + 41 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3014979841 + ... + 3014980271.

It is an arithmetic number, because the mean of its divisors is an integer number (6668600400).

Almost surely, 21299456404136 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 1299456404136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133952128000).

1299456404136 is an abundant number, since it is smaller than the sum of its proper divisors (2968447851864).

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

1299456404136 is a wasteful number, since it uses less digits than its factorization.

1299456404136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1299456404136 in words is "one trillion, two hundred ninety-nine billion, four hundred fifty-six million, four hundred four thousand, one hundred thirty-six".