Search a number
-
+
5464166401 = 17378687069
BaseRepresentation
bin1010001011011000…
…01001000000000001
3112002210210102011101
411011230021000001
542142311311101
62302112014401
7252256435201
oct50554110001
915083712141
105464166401
11235441a101
121085b31401
13691078675
1439b9aa401
1521ea92401
hex145b09001

5464166401 has 8 divisors (see below), whose sum is σ = 5941955880. Its totient is φ = 5003751168.

The previous prime is 5464166369. The next prime is 5464166429. The reversal of 5464166401 is 1046614645.

It is a Cunningham number, because it is equal to 739202+1.

It can be written as a sum of positive squares in 4 ways, for example, as 4254170176 + 1209996225 = 65224^2 + 34785^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 5464166401 - 25 = 5464166369 is a prime.

It is a super-2 number, since 2×54641664012 = 59714228915634585602, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5464116401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4342906 + ... + 4344163.

It is an arithmetic number, because the mean of its divisors is an integer number (742744485).

Almost surely, 25464166401 is an apocalyptic number.

It is an amenable number.

5464166401 is a deficient number, since it is larger than the sum of its proper divisors (477789479).

5464166401 is a wasteful number, since it uses less digits than its factorization.

5464166401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8687123.

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 5464166401 is about 73920.0000067641. Note that the first 5 decimals coincide. The cubic root of 5464166401 is about 1761.3323246132.

The spelling of 5464166401 in words is "five billion, four hundred sixty-four million, one hundred sixty-six thousand, four hundred one".

Divisors: 1 17 37 629 8687069 147680173 321421553 5464166401