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2417124641 = 37457142949
BaseRepresentation
bin1001000000010010…
…0110010100100001
320020110020122122212
42100010212110201
514422240442031
61035503211505
7113620135421
oct22004462441
96213218585
102417124641
111030449578
125755a6b95
132c6a03389
1418d03a481
15e230a12b
hex90126521

2417124641 has 8 divisors (see below), whose sum is σ = 2487901800. Its totient is φ = 2346634368.

The previous prime is 2417124631. The next prime is 2417124649. The reversal of 2417124641 is 1464217142.

It can be written as a sum of positive squares in 4 ways, for example, as 1315150225 + 1101974416 = 36265^2 + 33196^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2417124641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2417124598 and 2417124607.

It is not an unprimeable number, because it can be changed into a prime (2417124649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54566 + ... + 88383.

It is an arithmetic number, because the mean of its divisors is an integer number (310987725).

Almost surely, 22417124641 is an apocalyptic number.

It is an amenable number.

2417124641 is a deficient number, since it is larger than the sum of its proper divisors (70777159).

2417124641 is a wasteful number, since it uses less digits than its factorization.

2417124641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143443.

The product of its digits is 10752, while the sum is 32.

The square root of 2417124641 is about 49164.2618270630. The cubic root of 2417124641 is about 1342.0427448196.

The spelling of 2417124641 in words is "two billion, four hundred seventeen million, one hundred twenty-four thousand, six hundred forty-one".

Divisors: 1 37 457 16909 142949 5289113 65327693 2417124641