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2413620137889 = 325178612
BaseRepresentation
bin100011000111110110111…
…110001000111110100001
322112201222100002220200100
4203013312332020332201
5304021043223403024
65044445104013013
7336243520444632
oct43076676107641
98481870086610
102413620137889
11850679710394
1232b938601169
131467ac8a10ac
1484b698c7889
1542bb54c27c9
hex231f6f88fa1

2413620137889 has 9 divisors (see below), whose sum is σ = 3486346931379. Its totient is φ = 1609076984760.

The previous prime is 2413620137869. The next prime is 2413620137933. The reversal of 2413620137889 is 9887310263142.

It is a happy number.

The square root of 2413620137889 is 1553583.

It is a perfect power (a square), and thus also a powerful number.

2413620137889 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 620 + 1 + 3 + 7 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2396870601489 + 16749536400 = 1548183^2 + 129420^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2413620137889 - 25 = 2413620137857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2413620137869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4401819 + ... + 4919679.

Almost surely, 22413620137889 is an apocalyptic number.

2413620137889 is the 1553583-rd square number.

2413620137889 is the 776792-nd centered octagonal number.

It is an amenable number.

2413620137889 is a deficient number, since it is larger than the sum of its proper divisors (1072726793490).

2413620137889 is an frugal number, since it uses more digits than its factorization.

2413620137889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035728 (or 517864 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 2413620137889 in words is "two trillion, four hundred thirteen billion, six hundred twenty million, one hundred thirty-seven thousand, eight hundred eighty-nine".

Divisors: 1 3 9 517861 1553583 4660749 268180015321 804540045963 2413620137889