Search a number
-
+
747133768161 = 3411287312
BaseRepresentation
bin10101101111101001010…
…01001001000111100001
32122102111000222220110000
422313310221021013201
544220112221040121
61331121205330213
7104656446150144
oct12676451110741
92572430886400
10747133768161
11268948597300
12100971706969
13555ba4600a1
14282390d005b
151467becd526
hexadf4a491e1

747133768161 has 45 divisors (see below), whose sum is σ = 1226915723649. Its totient is φ = 452756482200.

The previous prime is 747133768159. The next prime is 747133768181. The reversal of 747133768161 is 161867331747.

It is a happy number.

The square root of 747133768161 is 864369.

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

747133768161 is a `hidden beast` number, since 7 + 471 + 3 + 3 + 7 + 6 + 8 + 161 = 666.

747133768161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 747133768161 - 21 = 747133768159 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 747133768098 and 747133768107.

It is not an unprimeable number, because it can be changed into a prime (747133768151) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 85568166 + ... + 85576896.

Almost surely, 2747133768161 is an apocalyptic number.

747133768161 is the 864369-th square number.

747133768161 is the 432185-th centered octagonal number.

It is an amenable number.

747133768161 is a deficient number, since it is larger than the sum of its proper divisors (479781955488).

747133768161 is an frugal number, since it uses more digits than its factorization.

747133768161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17496 (or 8745 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 747133768161 in words is "seven hundred forty-seven billion, one hundred thirty-three million, seven hundred sixty-eight thousand, one hundred sixty-one".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 3267 8731 9801 26193 78579 96041 235737 288123 707211 864369 1056451 2593107 3169353 7779321 9508059 28524177 76230361 85572531 228691083 686073249 838533971 2058219747 2515601913 6174659241 7546805739 9223873681 22640417217 27671621043 67921251651 83014863129 249044589387 747133768161