Search a number
-
+
12077657001 = 321341961889
BaseRepresentation
bin10110011111110001…
…00110101110101001
31011011201020112201200
423033320212232221
5144213340011001
65314242034413
7605203250664
oct131770465651
934151215650
1012077657001
115138582513
122410948a09
1311a6284607
148280746db
154aa4b0086
hex2cfe26ba9

12077657001 has 6 divisors (see below), whose sum is σ = 17445504570. Its totient is φ = 8051771328.

The previous prime is 12077656991. The next prime is 12077657027. The reversal of 12077657001 is 10075677021.

12077657001 is a `hidden beast` number, since 12 + 0 + 7 + 76 + 570 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9790904601 + 2286752400 = 98949^2 + 47820^2 .

It is not a de Polignac number, because 12077657001 - 27 = 12077656873 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12077657101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 670980936 + ... + 670980953.

It is an arithmetic number, because the mean of its divisors is an integer number (2907584095).

Almost surely, 212077657001 is an apocalyptic number.

It is an amenable number.

12077657001 is a deficient number, since it is larger than the sum of its proper divisors (5367847569).

12077657001 is a wasteful number, since it uses less digits than its factorization.

12077657001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341961895 (or 1341961892 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The spelling of 12077657001 in words is "twelve billion, seventy-seven million, six hundred fifty-seven thousand, one".

Divisors: 1 3 9 1341961889 4025885667 12077657001