Search a number
-
+
257420095097 = 1142167198273
BaseRepresentation
bin1110111110111101101…
…1101110111001111001
3220121110001022202001012
43233233123232321321
513204144021020342
6314131314003305
724412052464034
oct3575733567171
9817401282035
10257420095097
119a197a29550
1241a81576535
131b375420bc9
14c66008401b
156a69465b82
hex3bef6eee79

257420095097 has 16 divisors (see below), whose sum is σ = 281564881920. Its totient is φ = 233399443200.

The previous prime is 257420095069. The next prime is 257420095103. The reversal of 257420095097 is 790590024752.

It is not a de Polignac number, because 257420095097 - 26 = 257420095033 is a prime.

It is a super-3 number, since 3×2574200950973 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257420095397) 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, 31111553 + ... + 31119825.

It is an arithmetic number, because the mean of its divisors is an integer number (17597805120).

Almost surely, 2257420095097 is an apocalyptic number.

It is an amenable number.

257420095097 is a deficient number, since it is larger than the sum of its proper divisors (24144786823).

257420095097 is a wasteful number, since it uses less digits than its factorization.

257420095097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15424.

The product of its (nonzero) digits is 1587600, while the sum is 50.

The spelling of 257420095097 in words is "two hundred fifty-seven billion, four hundred twenty million, ninety-five thousand, ninety-seven".

Divisors: 1 11 421 4631 6719 8273 73909 91003 2828699 3482933 31115689 38312263 55586287 611449157 23401826827 257420095097