Search a number
-
+
1336639905792 = 213364153103
BaseRepresentation
bin10011011100110101111…
…100100110000000000000
311201210002201210112000000
4103130311330212000000
5133344414303441132
62502013252000000
7165366116511222
oct23346574460000
94653081715000
101336639905792
11475958420774
12197072000000
1399076cb6879
144899d7b6412
1524b8093887c
hex13735f26000

1336639905792 has 784 divisors, whose sum is σ = 4223670036768. Its totient is φ = 422337576960.

The previous prime is 1336639905781. The next prime is 1336639905793. The reversal of 1336639905792 is 2975099366331.

1336639905792 is a `hidden beast` number, since 133 + 66 + 399 + 0 + 57 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336639905793) 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 55 ways as a sum of consecutive naturals, for example, 12977086413 + ... + 12977086515.

Almost surely, 21336639905792 is an apocalyptic number.

1336639905792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1336639905792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111835018384).

1336639905792 is an abundant number, since it is smaller than the sum of its proper divisors (2887030130976).

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

1336639905792 is an frugal number, since it uses more digits than its factorization.

1336639905792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 49601160, while the sum is 63.

The spelling of 1336639905792 in words is "one trillion, three hundred thirty-six billion, six hundred thirty-nine million, nine hundred five thousand, seven hundred ninety-two".