Search a number
-
+
57426704361 = 321317283710177
BaseRepresentation
bin110101011110111001…
…011111011111101001
312111020011110211202100
4311132321133133221
51420102214014421
642214221324013
74102041635025
oct653671373751
9174204424670
1057426704361
1122399971a54
12b168106609
1355525a7150
142acac03385
151761899c26
hexd5ee5f7e9

57426704361 has 48 divisors (see below), whose sum is σ = 94627797264. Its totient is φ = 33245724672.

The previous prime is 57426704353. The next prime is 57426704381. The reversal of 57426704361 is 16340762475.

57426704361 is a `hidden beast` number, since 574 + 2 + 6 + 70 + 4 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3993608025 + 53433096336 = 63195^2 + 231156^2 .

It is not a de Polignac number, because 57426704361 - 23 = 57426704353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57426704311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5637705 + ... + 5647881.

It is an arithmetic number, because the mean of its divisors is an integer number (1971412443).

Almost surely, 257426704361 is an apocalyptic number.

57426704361 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

57426704361 is a deficient number, since it is larger than the sum of its proper divisors (37201092903).

57426704361 is a wasteful number, since it uses less digits than its factorization.

57426704361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13050 (or 13047 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 57426704361 in words is "fifty-seven billion, four hundred twenty-six million, seven hundred four thousand, three hundred sixty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 2837 8511 10177 25533 30531 36881 48229 91593 110643 132301 144687 173009 331929 396903 434061 519027 626977 1190709 1557081 1880931 2249117 5642793 6747351 20242053 28872149 86616447 259849341 375337937 490826533 1126013811 1472479599 3378041433 4417438797 6380744929 19142234787 57426704361