Search a number
-
+
257690245449 = 372133073311327
BaseRepresentation
bin1110111111111110001…
…0010001100101001001
3220122010212122210122210
43233333202101211021
513210222200323244
6314214204135333
724421542642300
oct3577742214511
9818125583583
10257690245449
119a3164754aa
1241b37b37549
131b3b939a2a0
14c687cc7437
156a8302a4b9
hex3bff891949

257690245449 has 96 divisors (see below), whose sum is σ = 433460729856. Its totient is φ = 134970675840.

The previous prime is 257690245441. The next prime is 257690245487. The reversal of 257690245449 is 944542096752.

It is not a de Polignac number, because 257690245449 - 23 = 257690245441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (257690245441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194189424 + ... + 194190750.

It is an arithmetic number, because the mean of its divisors is an integer number (4515215936).

Almost surely, 2257690245449 is an apocalyptic number.

It is an amenable number.

257690245449 is a deficient number, since it is larger than the sum of its proper divisors (175770484407).

257690245449 is a wasteful number, since it uses less digits than its factorization.

257690245449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 257690245449 in words is "two hundred fifty-seven billion, six hundred ninety million, two hundred forty-five thousand, four hundred forty-nine".

Divisors: 1 3 7 13 21 39 49 91 147 273 307 331 637 921 993 1327 1911 2149 2317 3981 3991 4303 6447 6951 9289 11973 12909 15043 16219 17251 27867 27937 30121 45129 48657 51753 65023 83811 90363 101617 120757 195069 195559 210847 304851 362271 407389 439237 586677 632541 711319 845299 1222167 1317711 1321021 2133957 2535897 2851723 3074659 3963063 4979233 5296057 5710081 8555169 9223977 9247147 14937699 15888171 17130243 19962061 21522613 27741441 37072399 39970567 59886183 64567839 64730029 111217197 119911701 134845759 194190087 259506793 279793969 404537277 778520379 839381907 943920313 1752994867 2831760939 5258984601 6607442191 12270964069 19822326573 36812892207 85896748483 257690245449