Search a number
-
+
5985051718657 = 114673260935729
BaseRepresentation
bin101011100011000000011…
…1000011011010000000001
3210012011110112201011212111
41113012000320123100001
51241024341214444112
620421254513255321
71155256106135044
oct127060070332001
923164415634774
105985051718657
1119a8278735430
12807b39864541
133455074514cb
1416996c7ccc5b
15a5a4198c5a7
hex57180e1b401

5985051718657 has 16 divisors (see below), whose sum is σ = 6543512164800. Its totient is φ = 5428986787840.

The previous prime is 5985051718619. The next prime is 5985051718687. The reversal of 5985051718657 is 7568171505895.

It is a de Polignac number, because none of the positive numbers 2k-5985051718657 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5985051718592 and 5985051718601.

It is not an unprimeable number, because it can be changed into a prime (5985051718687) 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, 167494569 + ... + 167530297.

It is an arithmetic number, because the mean of its divisors is an integer number (408969510300).

Almost surely, 25985051718657 is an apocalyptic number.

It is an amenable number.

5985051718657 is a deficient number, since it is larger than the sum of its proper divisors (558460446143).

5985051718657 is a wasteful number, since it uses less digits than its factorization.

5985051718657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68816.

The product of its (nonzero) digits is 105840000, while the sum is 67.

The spelling of 5985051718657 in words is "five trillion, nine hundred eighty-five billion, fifty-one million, seven hundred eighteen thousand, six hundred fifty-seven".

Divisors: 1 11 467 5137 32609 35729 358699 393019 15228403 16685443 167512433 183539873 1165086961 12815956571 544095610787 5985051718657