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18429407657 = 61499360509
BaseRepresentation
bin10001001010011110…
…100111000110101001
31202120101011220120222
4101022132213012221
5300220412021112
612244422055425
71221461244323
oct211236470651
952511156528
1018429407657
1178a7a13821
1236a3b7a575
13197919a35b
14c6b888613
1572ce2a372
hex44a7a71a9

18429407657 has 8 divisors (see below), whose sum is σ = 18735590280. Its totient is φ = 18123356160.

The previous prime is 18429407567. The next prime is 18429407677. The reversal of 18429407657 is 75670492481.

It can be written as a sum of positive squares in 4 ways, for example, as 1785569536 + 16643838121 = 42256^2 + 129011^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 18429407657 - 212 = 18429403561 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18429407599 and 18429407608.

It is not an unprimeable number, because it can be changed into a prime (18429407677) 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 7 ways as a sum of consecutive naturals, for example, 274319 + ... + 334827.

It is an arithmetic number, because the mean of its divisors is an integer number (2341948785).

Almost surely, 218429407657 is an apocalyptic number.

It is an amenable number.

18429407657 is a deficient number, since it is larger than the sum of its proper divisors (306182623).

18429407657 is an equidigital number, since it uses as much as digits as its factorization.

18429407657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65563.

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 18429407657 in words is "eighteen billion, four hundred twenty-nine million, four hundred seven thousand, six hundred fifty-seven".

Divisors: 1 61 4993 60509 304573 3691049 302121437 18429407657