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5758338575 = 52113173053
BaseRepresentation
bin1010101110011100…
…10100011000001111
3112212022022220112002
411113032110120033
543243113313300
62351221102515
7262461033053
oct52716243017
915768286462
105758338575
112495483000
121148557a3b
13709cb5942
143c8aa3c63
1523a7ee5d5
hex15739460f

5758338575 has 24 divisors (see below), whose sum is σ = 7853882736. Its totient is φ = 4187858400.

The previous prime is 5758338557. The next prime is 5758338589.

5758338575 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5758338575 - 210 = 5758337551 is a prime.

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 5758338575.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 53252 + ... + 119801.

It is an arithmetic number, because the mean of its divisors is an integer number (327245114).

Almost surely, 25758338575 is an apocalyptic number.

5758338575 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5758338575 is a deficient number, since it is larger than the sum of its proper divisors (2095544161).

5758338575 is a wasteful number, since it uses less digits than its factorization.

5758338575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173096 (or 173069 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 56.

The square root of 5758338575 is about 75883.7174563819. The cubic root of 5758338575 is about 1792.3895320983.

The spelling of 5758338575 in words is "five billion, seven hundred fifty-eight million, three hundred thirty-eight thousand, five hundred seventy-five".

Divisors: 1 5 11 25 55 121 275 605 1331 3025 6655 33275 173053 865265 1903583 4326325 9517915 20939413 47589575 104697065 230333543 523485325 1151667715 5758338575