Search a number
-
+
11601604457 = 176180913829
BaseRepresentation
bin10101100111000001…
…00110111101101001
31002221112110120101222
422303200212331221
5142230002320312
65155114351425
7560333003462
oct126340467551
932845416358
1011601604457
114a13892163
1222b942b575
13112b765611
147c0b53d69
1547d7c7672
hex2b3826f69

11601604457 has 16 divisors (see below), whose sum is σ = 12501766800. Its totient is φ = 10726103040.

The previous prime is 11601604387. The next prime is 11601604481. The reversal of 11601604457 is 75440610611.

It can be written as a sum of positive squares in 8 ways, for example, as 198781801 + 11402822656 = 14099^2 + 106784^2 .

It is a cyclic number.

It is not a de Polignac number, because 11601604457 - 230 = 10527862633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11601604957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832019 + ... + 845847.

It is an arithmetic number, because the mean of its divisors is an integer number (781360425).

Almost surely, 211601604457 is an apocalyptic number.

11601604457 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11601604457 is a deficient number, since it is larger than the sum of its proper divisors (900162343).

11601604457 is a wasteful number, since it uses less digits than its factorization.

11601604457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14716.

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 11601604457 in words is "eleven billion, six hundred one million, six hundred four thousand, four hundred fifty-seven".

Divisors: 1 17 61 809 1037 13753 13829 49349 235093 838933 843569 11187661 14340673 190190237 682447321 11601604457