Search a number
-
+
13044702427806 = 23721923532417949
BaseRepresentation
bin1011110111010011010011…
…0110101011101010011110
31201012001122202000011000210
42331310310312223222132
53202211022310142211
643424353100433250
72514306613101300
oct275646466535236
951161582004023
1013044702427806
11417a25549a405
121568198548826
1373815803b82a
1433151cd53970
151794c8de59a6
hexbdd34daba9e

13044702427806 has 384 divisors, whose sum is σ = 34109361792000. Its totient is φ = 3299490754560.

The previous prime is 13044702427721. The next prime is 13044702427807. The reversal of 13044702427806 is 60872420744031.

It is a super-2 number, since 2×130447024278062 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044702427807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1641045520 + ... + 1641053468.

It is an arithmetic number, because the mean of its divisors is an integer number (88826463000).

Almost surely, 213044702427806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13044702427806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17054680896000).

13044702427806 is an abundant number, since it is smaller than the sum of its proper divisors (21064659364194).

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

13044702427806 is a wasteful number, since it uses less digits than its factorization.

13044702427806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8297 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 13044702427806 in words is "thirteen trillion, forty-four billion, seven hundred two million, four hundred twenty-seven thousand, eight hundred six".