Search a number
-
+
4167864481 = 11258692
BaseRepresentation
bin1111100001101100…
…1001000010100001
3101202110120110020011
43320123021002201
532013433130411
61525323444521
7205166156254
oct37033110241
911673513204
104167864481
111849718300
12983986741
13515636a01
142b776d09b
15195d82c21
hexf86c90a1

4167864481 has 9 divisors (see below), whose sum is σ = 4581987123. Its totient is φ = 3788322120.

The previous prime is 4167864479. The next prime is 4167864499. The reversal of 4167864481 is 1844687614.

The square root of 4167864481 is 64559.

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., 400360081 + 3767504400 = 20009^2 + 61380^2 .

It is not a de Polignac number, because 4167864481 - 21 = 4167864479 is a prime.

It is a super-2 number, since 2×41678644812 = 34742188663962798722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4167862481) 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, 707215 + ... + 713083.

Almost surely, 24167864481 is an apocalyptic number.

4167864481 is the 64559-th square number.

4167864481 is the 32280-th centered octagonal number.

It is an amenable number.

4167864481 is a deficient number, since it is larger than the sum of its proper divisors (414122642).

4167864481 is an frugal number, since it uses more digits than its factorization.

4167864481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11760 (or 5880 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The cubic root of 4167864481 is about 1609.3031565056.

Multiplying 4167864481 by its sum of digits (49), we get a square (204225359569 = 4519132).

The spelling of 4167864481 in words is "four billion, one hundred sixty-seven million, eight hundred sixty-four thousand, four hundred eighty-one".

Divisors: 1 11 121 5869 64559 710149 34445161 378896771 4167864481