Search a number
-
+
5662412001 = 389292
BaseRepresentation
bin1010100011000000…
…11000110011100001
3112121121211100000000
411101200120303201
543044034141001
62333513050213
7260214464541
oct52140306341
915547740000
105662412001
112446313a44
1211203b6969
136c316a25c
143ba053321
152321a1a86
hex151818ce1

5662412001 has 27 divisors (see below), whose sum is σ = 8502338611. Its totient is φ = 3770877888.

The previous prime is 5662411999. The next prime is 5662412027. The reversal of 5662412001 is 1002142665.

The square root of 5662412001 is 75249.

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., 109181601 + 5553230400 = 10449^2 + 74520^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 5662412001 - 21 = 5662411999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5662412101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6094705 + ... + 6095633.

Almost surely, 25662412001 is an apocalyptic number.

5662412001 is the 75249-th square number.

5662412001 is the 37625-th centered octagonal number.

It is an amenable number.

5662412001 is a deficient number, since it is larger than the sum of its proper divisors (2839926610).

5662412001 is an frugal number, since it uses more digits than its factorization.

5662412001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 5662412001 is about 1782.3807726263.

Adding to 5662412001 its reverse (1002142665), we get a palindrome (6664554666).

The spelling of 5662412001 in words is "five billion, six hundred sixty-two million, four hundred twelve thousand, one".

Divisors: 1 3 9 27 81 243 729 929 2187 2787 6561 8361 25083 75249 225747 677241 863041 2031723 2589123 6095169 7767369 23302107 69906321 209718963 629156889 1887470667 5662412001