Search a number
-
+
13857497748 = 22321013811193
BaseRepresentation
bin11001110011111100…
…01010001010010100
31022202202022211020100
430321332022022110
5211340004411443
610211022134100
71000254534033
oct147176121224
938682284210
1013857497748
115971218186
122828a21330
1313cac36913
149565c071a
155618853d3
hex339f8a294

13857497748 has 36 divisors (see below), whose sum is σ = 35375502708. Its totient is φ = 4573430400.

The previous prime is 13857497743. The next prime is 13857497749. The reversal of 13857497748 is 84779475831.

13857497748 is a `hidden beast` number, since 13 + 8 + 574 + 9 + 7 + 7 + 48 = 666.

13857497748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7586758404 + 6270739344 = 87102^2 + 79188^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13857497743) 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 11 ways as a sum of consecutive naturals, for example, 1901961 + ... + 1909232.

It is an arithmetic number, because the mean of its divisors is an integer number (982652853).

Almost surely, 213857497748 is an apocalyptic number.

13857497748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13857497748 is an abundant number, since it is smaller than the sum of its proper divisors (21518004960).

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

13857497748 is a wasteful number, since it uses less digits than its factorization.

13857497748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811304 (or 3811299 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The spelling of 13857497748 in words is "thirteen billion, eight hundred fifty-seven million, four hundred ninety-seven thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 3811193 7622386 11433579 15244772 22867158 34300737 45734316 68601474 137202948 384930493 769860986 1154791479 1539721972 2309582958 3464374437 4619165916 6928748874 13857497748