Search a number
-
+
4767012855801 = 32721039692
BaseRepresentation
bin100010101011110100000…
…0110111001111111111001
3121212201111022200220001100
41011113220012321333321
51111100320242341201
614045534021242013
71001256010466100
oct105275006717771
917781438626040
104767012855801
111578751532719
1264ba66b63309
132876b187a171
14126a2063d037
15840032bd886
hex455e81b9ff9

4767012855801 has 27 divisors (see below), whose sum is σ = 8009955785871. Its totient is φ = 2723981145984.

The previous prime is 4767012855791. The next prime is 4767012855811. The reversal of 4767012855801 is 1085582107674.

The square root of 4767012855801 is 2183349.

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

4767012855801 is a `hidden beast` number, since 4 + 7 + 6 + 70 + 12 + 8 + 558 + 0 + 1 = 666.

4767012855801 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4767012855791) and next prime (4767012855811).

It can be written as a sum of positive squares in only one way, i.e., 1690777489401 + 3076235366400 = 1300299^2 + 1753920^2 .

It is not a de Polignac number, because 4767012855801 - 229 = 4766475984889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4767012855811) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45798345 + ... + 45902313.

Almost surely, 24767012855801 is an apocalyptic number.

4767012855801 is the 2183349-th square number.

4767012855801 is the 1091675-th centered octagonal number.

It is an amenable number.

4767012855801 is a deficient number, since it is larger than the sum of its proper divisors (3242942930070).

4767012855801 is an frugal number, since it uses more digits than its factorization.

4767012855801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207958 (or 103979 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 4767012855801 in words is "four trillion, seven hundred sixty-seven billion, twelve million, eight hundred fifty-five thousand, eight hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 103969 311907 727783 935721 2183349 5094481 6550047 15283443 45850329 10809552961 32428658883 75666870727 97285976649 227000612181 529668095089 681001836543 1589004285267 4767012855801