Search a number
-
+
1052736958479 = 31983222518909
BaseRepresentation
bin11110101000111000000…
…00110011000000001111
310201122022001022111022110
433110130000303000033
5114222001130132404
62123342022315103
7136025542334403
oct17243400630017
93648261274273
101052736958479
113765106283a8
1215003b588a93
137837109230b
1438d4a46b103
151c5b6541b89
hexf51c03300f

1052736958479 has 16 divisors (see below), whose sum is σ = 1495327075200. Its totient is φ = 656875816416.

The previous prime is 1052736958459. The next prime is 1052736958501. The reversal of 1052736958479 is 9748596372501.

It is a happy number.

It is not a de Polignac number, because 1052736958479 - 25 = 1052736958447 is a prime.

It is a super-2 number, since 2×10527369584792 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052736958459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111254724 + ... + 111264185.

It is an arithmetic number, because the mean of its divisors is an integer number (93457942200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1052736958479 = 2105473916958, but 3⋅1052736958479 = 3158210875437 is not.

Almost surely, 21052736958479 is an apocalyptic number.

1052736958479 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1052736958479 is a deficient number, since it is larger than the sum of its proper divisors (442590116721).

1052736958479 is a wasteful number, since it uses less digits than its factorization.

1052736958479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222519014.

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 1052736958479 in words is "one trillion, fifty-two billion, seven hundred thirty-six million, nine hundred fifty-eight thousand, four hundred seventy-nine".

Divisors: 1 3 19 57 83 249 1577 4731 222518909 667556727 4227859271 12683577813 18469069447 55407208341 350912319493 1052736958479