Search a number
-
+
57612252285 = 3257414460879
BaseRepresentation
bin110101101001111101…
…010011010001111101
312111201002121122122200
4311221331103101331
51420442214033120
642244450302113
74106454031050
oct655175232175
9174632548580
1057612252285
1122484683945
12b1ba287939
135581b71313
142b07702a97
151772cebe90
hexd69f5347d

57612252285 has 48 divisors (see below), whose sum is σ = 116910743040. Its totient is φ = 25694657280.

The previous prime is 57612252277. The next prime is 57612252319. The reversal of 57612252285 is 58225221675.

57612252285 is a `hidden beast` number, since 5 + 7 + 612 + 2 + 5 + 2 + 28 + 5 = 666.

It is not a de Polignac number, because 57612252285 - 23 = 57612252277 is a prime.

It is a super-2 number, since 2×576122522852 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 57612252285.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2217525 + ... + 2243354.

It is an arithmetic number, because the mean of its divisors is an integer number (2435640480).

Almost surely, 257612252285 is an apocalyptic number.

It is an amenable number.

57612252285 is an abundant number, since it is smaller than the sum of its proper divisors (59298490755).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57612252285 is a wasteful number, since it uses less digits than its factorization.

57612252285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460938 (or 4460935 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 57612252285 in words is "fifty-seven billion, six hundred twelve million, two hundred fifty-two thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 41 45 63 105 123 205 287 315 369 615 861 1435 1845 2583 4305 12915 4460879 13382637 22304395 31226153 40147911 66913185 93678459 156130765 182896039 200739555 281035377 468392295 548688117 914480195 1280272273 1405176885 1646064351 2743440585 3840816819 6401361365 8230321755 11522450457 19204084095 57612252285