Search a number
-
+
57510274969 = 72342592
BaseRepresentation
bin110101100011111000…
…010010011110011001
312111102222201200002001
4311203320102132121
51420240112244334
642230404441001
74104105162100
oct654370223631
9174388650061
1057510274969
1122432061874
12b1900a9161
1355669b7804
142ad7d59037
151768da6714
hexd63e12799

57510274969 has 9 divisors (see below), whose sum is σ = 66901660437. Its totient is φ = 49293082524.

The previous prime is 57510274919. The next prime is 57510274981. The reversal of 57510274969 is 96947201575.

It is a happy number.

The square root of 57510274969 is 239813.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 57510274969 - 221 = 57508177817 is a prime.

It is a super-2 number, since 2×575102749692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57510274919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1661562 + ... + 1695820.

Almost surely, 257510274969 is an apocalyptic number.

57510274969 is the 239813-rd square number.

57510274969 is the 119907-th centered octagonal number.

It is an amenable number.

57510274969 is a deficient number, since it is larger than the sum of its proper divisors (9391385468).

57510274969 is an frugal number, since it uses more digits than its factorization.

57510274969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68532 (or 34266 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 55.

The spelling of 57510274969 in words is "fifty-seven billion, five hundred ten million, two hundred seventy-four thousand, nine hundred sixty-nine".

Divisors: 1 7 49 34259 239813 1678691 1173679081 8215753567 57510274969