Search a number
-
+
5744774475 = 3352112371901
BaseRepresentation
bin1010101100110101…
…00100110101001011
3112211100210210002000
411112122210311023
543231130240400
62350014242043
7262234530426
oct52632446513
915740723060
105744774475
112488859100
121143ab6323
13707246a4b
143c6d729bd
15239520600
hex1566a4d4b

5744774475 has 144 divisors (see below), whose sum is σ = 11919757920. Its totient is φ = 2708640000.

The previous prime is 5744774473. The next prime is 5744774513.

It is a happy number.

5744774475 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5744774475 - 21 = 5744774473 is a prime.

It is a super-2 number, since 2×57447744752 = 66004867537223051250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5744774473) 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 143 ways as a sum of consecutive naturals, for example, 3021025 + ... + 3022925.

Almost surely, 25744774475 is an apocalyptic number.

5744774475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5744774475 is an abundant number, since it is smaller than the sum of its proper divisors (6174983445).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5744774475 is a wasteful number, since it uses less digits than its factorization.

5744774475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1957 counting only the distinct ones).

The product of its digits is 15366400, while the sum is 54.

The square root of 5744774475 is about 75794.2905171623. The cubic root of 5744774475 is about 1790.9810664957.

The spelling of 5744774475 in words is "five billion, seven hundred forty-four million, seven hundred seventy-four thousand, four hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 37 45 55 75 99 111 121 135 165 185 225 275 297 333 363 407 495 555 605 675 825 925 999 1089 1221 1485 1665 1815 1901 2035 2475 2775 3025 3267 3663 4477 4995 5445 5703 6105 7425 8325 9075 9505 10175 10989 13431 16335 17109 18315 20911 22385 24975 27225 28515 30525 40293 47525 51327 54945 62733 67155 70337 81675 85545 91575 104555 111925 120879 142575 188199 201465 211011 230021 256635 274725 313665 335775 351685 427725 522775 564597 604395 633033 690063 773707 940995 1007325 1055055 1150105 1283175 1568325 1758425 1899099 2070189 2321121 2822985 3021975 3165165 3450315 3868535 4704975 5275275 5750525 6210567 6963363 8510777 9495495 10350945 11605605 14114925 15825825 17251575 19342675 20890089 25532331 31052835 34816815 42553885 47477475 51754725 58028025 76596993 104450445 127661655 155264175 174084075 212769425 229790979 382984965 522252225 638308275 1148954895 1914924825 5744774475