Search a number
-
+
46780066369 = 31269772
BaseRepresentation
bin101011100100010011…
…110010101001000001
311110202011221121001201
4223210103302221001
51231301144110434
633253535101201
73244153001101
oct534423625101
9143664847051
1046780066369
1118926145283
129096671801
13454694205a
14239ac37201
15133bd5a614
hexae44f2a41

46780066369 has 9 divisors (see below), whose sum is σ = 48344708451. Its totient is φ = 45264543360.

The previous prime is 46780066363. The next prime is 46780066391. The reversal of 46780066369 is 96366008764.

The square root of 46780066369 is 216287.

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

It can be written as a sum of positive squares in only one way, i.e., 9265025025 + 37515041344 = 96255^2 + 193688^2 .

It is not a de Polignac number, because 46780066369 - 25 = 46780066337 is a prime.

It is a super-2 number, since 2×467800663692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46780066363) 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, 6701409 + ... + 6708385.

Almost surely, 246780066369 is an apocalyptic number.

46780066369 is the 216287-th square number.

46780066369 is the 108144-th centered octagonal number.

It is an amenable number.

46780066369 is a deficient number, since it is larger than the sum of its proper divisors (1564642082).

46780066369 is an frugal number, since it uses more digits than its factorization.

46780066369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14016 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 46780066369 in words is "forty-six billion, seven hundred eighty million, sixty-six thousand, three hundred sixty-nine".

Divisors: 1 31 961 6977 216287 6704897 48678529 1509034399 46780066369