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4214536657 = 174124592
BaseRepresentation
bin1111101100110100…
…1011100111010001
3101212201101122102021
43323031023213101
532112410133112
61534112051441
7206303653612
oct37315134721
911781348367
104214536657
111872aa5851
12997533b81
135221c8496
142bda3bc09
1519a001907
hexfb34b9d1

4214536657 has 12 divisors (see below), whose sum is σ = 4573150596. Its totient is φ = 3868302080.

The previous prime is 4214536637. The next prime is 4214536663. The reversal of 4214536657 is 7566354124.

It can be written as a sum of positive squares in 2 ways, for example, as 1547950336 + 2666586321 = 39344^2 + 51639^2 .

It is a de Polignac number, because none of the positive numbers 2k-4214536657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4214536637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1712694 + ... + 1715152.

It is an arithmetic number, because the mean of its divisors is an integer number (381095883).

Almost surely, 24214536657 is an apocalyptic number.

It is an amenable number.

4214536657 is a deficient number, since it is larger than the sum of its proper divisors (358613939).

4214536657 is an frugal number, since it uses more digits than its factorization.

4214536657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 2517 counting only the distinct ones).

The product of its digits is 604800, while the sum is 43.

The square root of 4214536657 is about 64919.4628520600. The cubic root of 4214536657 is about 1615.2879199885.

The spelling of 4214536657 in words is "four billion, two hundred fourteen million, five hundred thirty-six thousand, six hundred fifty-seven".

Divisors: 1 17 41 697 2459 41803 100819 1713923 6046681 102793577 247913921 4214536657