Search a number
-
+
1264156641 = 321112769259
BaseRepresentation
bin100101101011001…
…0111111111100001
310021002201210220100
41023112113333201
510042111003031
6325235133013
743220103606
oct11326277741
93232653810
101264156641
11599646660
122b3444169
13171b983a7
14bdc706ad
1575eaede6
hex4b597fe1

1264156641 has 12 divisors (see below), whose sum is σ = 1992004560. Its totient is φ = 766155480.

The previous prime is 1264156639. The next prime is 1264156643. The reversal of 1264156641 is 1466514621.

1264156641 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 1 + 5 + 6 + 641 = 666.

It is an interprime number because it is at equal distance from previous prime (1264156639) and next prime (1264156643).

It is not a de Polignac number, because 1264156641 - 21 = 1264156639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1264156596 and 1264156605.

It is not an unprimeable number, because it can be changed into a prime (1264156643) 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 11 ways as a sum of consecutive naturals, for example, 6384531 + ... + 6384728.

It is an arithmetic number, because the mean of its divisors is an integer number (166000380).

Almost surely, 21264156641 is an apocalyptic number.

1264156641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1264156641 is a deficient number, since it is larger than the sum of its proper divisors (727847919).

1264156641 is a wasteful number, since it uses less digits than its factorization.

1264156641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769276 (or 12769273 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 1264156641 is about 35554.9805371906. The cubic root of 1264156641 is about 1081.2686968110.

The spelling of 1264156641 in words is "one billion, two hundred sixty-four million, one hundred fifty-six thousand, six hundred forty-one".

Divisors: 1 3 9 11 33 99 12769259 38307777 114923331 140461849 421385547 1264156641