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257409886661 = 3137921909089
BaseRepresentation
bin1110111110111011010…
…0110010100111000101
3220121102100010002200222
43233232310302213011
513204133412333121
6314130311114125
724411566635604
oct3575664624705
9817370102628
10257409886661
119a192196824
1241a7a072945
131b373288505
14c65c987a3b
156a685eb0ab
hex3beed329c5

257409886661 has 8 divisors (see below), whose sum is σ = 266414534400. Its totient is φ = 248449057920.

The previous prime is 257409886633. The next prime is 257409886703. The reversal of 257409886661 is 166688904752.

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 257409886661 - 218 = 257409624517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257409886594 and 257409886603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257409886861) 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 7 ways as a sum of consecutive naturals, for example, 10942796 + ... + 10966293.

It is an arithmetic number, because the mean of its divisors is an integer number (33301816800).

Almost surely, 2257409886661 is an apocalyptic number.

It is an amenable number.

257409886661 is a deficient number, since it is larger than the sum of its proper divisors (9004647739).

257409886661 is a wasteful number, since it uses less digits than its factorization.

257409886661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21909499.

The product of its (nonzero) digits is 34836480, while the sum is 62.

The spelling of 257409886661 in words is "two hundred fifty-seven billion, four hundred nine million, eight hundred eighty-six thousand, six hundred sixty-one".

Divisors: 1 31 379 11749 21909089 679181759 8303544731 257409886661