Search a number
-
+
57334233243375 = 3353112140396041
BaseRepresentation
bin11010000100101001010101…
…00110110001111011101111
321112000002200021221012212000
431002110222212301323233
530003331002202242000
6321534552205143343
715035155514401164
oct1502245246617357
9245002607835760
1057334233243375
11172a5347a69100
12651b91285ab53
1325cb79728a31a
141022dc52d806b
156965dd0e1000
hex34252a9b1eef

57334233243375 has 96 divisors (see below), whose sum is σ = 116517483176640. Its totient is φ = 27798415920000.

The previous prime is 57334233243373. The next prime is 57334233243401.

57334233243375 is a `hidden beast` number, since 5 + 7 + 3 + 3 + 4 + 23 + 3 + 243 + 375 = 666.

57334233243375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57334233243375 - 21 = 57334233243373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57334233243373) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69789646 + ... + 70606395.

It is an arithmetic number, because the mean of its divisors is an integer number (1213723783090).

Almost surely, 257334233243375 is an apocalyptic number.

57334233243375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57334233243375 is an abundant number, since it is smaller than the sum of its proper divisors (59183249933265).

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

57334233243375 is a wasteful number, since it uses less digits than its factorization.

57334233243375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140396087 (or 140396060 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 54.

It can be divided in two parts, 5733423 and 3243375, that added together give a palindrome (8976798).

The spelling of 57334233243375 in words is "fifty-seven trillion, three hundred thirty-four billion, two hundred thirty-three million, two hundred forty-three thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 121 125 135 165 225 275 297 363 375 495 605 675 825 1089 1125 1375 1485 1815 2475 3025 3267 3375 4125 5445 7425 9075 12375 15125 16335 27225 37125 45375 81675 136125 408375 140396041 421188123 701980205 1263564369 1544356451 2105940615 3509901025 3790693107 4633069353 6317821845 7721782255 10529703075 13899208059 16987920961 17549505125 18953465535 23165346765 31589109225 38608911275 41697624177 50963762883 52648515375 69496040295 84939604805 94767327675 115826733825 152891288649 157945546125 193044556375 208488120885 254818814415 347480201475 424698024025 458673865947 473836638375 579133669125 764456443245 1042440604425 1274094072075 1737401007375 2123490120125 2293369329735 3822282216225 5212203022125 6370470360375 11466846648675 19111411081125 57334233243375