Search a number
-
+
57311648469 = 3319223255649
BaseRepresentation
bin110101011000000010…
…100101101011010101
312110221010222101202000
4311120002211223111
51414333240222334
642154551305513
74066143655065
oct653002455325
9173833871660
1057311648469
112233aa27839
12b13567b299
1355347c173a
142ab98133a5
15175671e299
hexd580a5ad5

57311648469 has 48 divisors (see below), whose sum is σ = 93506544000. Its totient is φ = 34622919936.

The previous prime is 57311648441. The next prime is 57311648483. The reversal of 57311648469 is 96484611375.

57311648469 is a `hidden beast` number, since 573 + 1 + 1 + 6 + 4 + 8 + 4 + 69 = 666.

It is not a de Polignac number, because 57311648469 - 28 = 57311648213 is a prime.

It is a super-2 number, since 2×573116484692 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57311648869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96357 + ... + 352005.

It is an arithmetic number, because the mean of its divisors is an integer number (1948053000).

Almost surely, 257311648469 is an apocalyptic number.

It is an amenable number.

57311648469 is a deficient number, since it is larger than the sum of its proper divisors (36194895531).

57311648469 is a wasteful number, since it uses less digits than its factorization.

57311648469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255719 (or 255694 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 57311648469 in words is "fifty-seven billion, three hundred eleven million, six hundred forty-eight thousand, four hundred sixty-nine".

Divisors: 1 3 9 19 23 27 57 69 171 207 361 437 513 621 1083 1311 3249 3933 8303 9747 11799 24909 74727 224181 255649 766947 2300841 4857331 5879927 6902523 14571993 17639781 43715979 52919343 92289289 111718613 131147937 158758029 276867867 335155839 830603601 1005467517 2122653647 2491810803 3016402551 6367960941 19103882823 57311648469