Search a number
-
+
1058472650041 = 157265532
BaseRepresentation
bin11110110011100011110…
…00101110010100111001
310202012002210000210222021
433121301320232110321
5114320222444300131
62130131114154441
7136320640035262
oct17316170562471
93665083023867
101058472650041
11378994242364
12151180422a21
1378a76478a51
1439332117969
151c7eed6ae11
hexf671e2e539

1058472650041 has 9 divisors (see below), whose sum is σ = 1065420040941. Its totient is φ = 1051570289952.

The previous prime is 1058472650033. The next prime is 1058472650063. The reversal of 1058472650041 is 1400562748501.

The square root of 1058472650041 is 1028821.

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

It can be written as a sum of positive squares in 4 ways, for example, as 143656918441 + 914815731600 = 379021^2 + 956460^2 .

It is not a de Polignac number, because 1058472650041 - 23 = 1058472650033 is a prime.

It is a super-2 number, since 2×10584726500412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1058472650041.

It is not an unprimeable number, because it can be changed into a prime (1058472650021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 161521621 + ... + 161528173.

It is an arithmetic number, because the mean of its divisors is an integer number (118380004549).

Almost surely, 21058472650041 is an apocalyptic number.

1058472650041 is the 1028821-st square number.

1058472650041 is the 514411-st centered octagonal number.

It is an amenable number.

1058472650041 is a deficient number, since it is larger than the sum of its proper divisors (6947390900).

1058472650041 is an frugal number, since it uses more digits than its factorization.

1058472650041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13420 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 1058472650041 in words is "one trillion, fifty-eight billion, four hundred seventy-two million, six hundred fifty thousand, forty-one".

Divisors: 1 157 6553 24649 1028821 42941809 161524897 6741864013 1058472650041