Search a number
-
+
857088975681 = 323085972
BaseRepresentation
bin11000111100011100111…
…10111110001101000001
310000221022000010012002100
430132032132332031001
5103020304234210211
61453424035141013
7115631315042241
oct14361636761501
93027260105070
10857088975681
11300542423134
1211a139444769
1362a915a5c63
142d6aa373b21
15174651c9156
hexc78e7be341

857088975681 has 9 divisors (see below), whose sum is σ = 1238021421091. Its totient is φ = 571390798872.

The previous prime is 857088975649. The next prime is 857088975703. The reversal of 857088975681 is 186579880758.

The square root of 857088975681 is 925791.

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

857088975681 is a `hidden beast` number, since 8 + 57 + 0 + 8 + 8 + 9 + 7 + 568 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 838515647025 + 18573328656 = 915705^2 + 136284^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 857088975681 - 25 = 857088975649 is a prime.

It is a super-2 number, since 2×8570889756812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (857088973681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2623075 + ... + 2931671.

Almost surely, 2857088975681 is an apocalyptic number.

857088975681 is the 925791-st square number.

857088975681 is the 462896-th centered octagonal number.

It is an amenable number.

857088975681 is a deficient number, since it is larger than the sum of its proper divisors (380932445410).

857088975681 is an frugal number, since it uses more digits than its factorization.

857088975681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617200 (or 308600 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 72.

The spelling of 857088975681 in words is "eight hundred fifty-seven billion, eighty-eight million, nine hundred seventy-five thousand, six hundred eighty-one".

Divisors: 1 3 9 308597 925791 2777373 95232108409 285696325227 857088975681