Search a number
-
+
5827068723348 = 22331193339113337
BaseRepresentation
bin101010011001011100001…
…0111001000000010010100
3202122001200102211111011000
41110302320113020002110
51230432314043121343
620220530213343300
71140664123626015
oct124627027100224
922561612744130
105827068723348
1119472784237a4
127a13a9637b30
1333364b033bb2
14162062b1d00c
15a1897120ed3
hex54cb85c8094

5827068723348 has 96 divisors (see below), whose sum is σ = 15125471262720. Its totient is φ = 1940010324480.

The previous prime is 5827068723347. The next prime is 5827068723379. The reversal of 5827068723348 is 8433278607285.

5827068723348 is a `hidden beast` number, since 58 + 270 + 6 + 87 + 233 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5827068723347) 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 31 ways as a sum of consecutive naturals, for example, 436903336 + ... + 436916672.

It is an arithmetic number, because the mean of its divisors is an integer number (157556992320).

Almost surely, 25827068723348 is an apocalyptic number.

It is an amenable number.

5827068723348 is an abundant number, since it is smaller than the sum of its proper divisors (9298402539372).

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

5827068723348 is a wasteful number, since it uses less digits than its factorization.

5827068723348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17934 (or 17926 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 5827068723348 in words is "five trillion, eight hundred twenty-seven billion, sixty-eight million, seven hundred twenty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1193 2386 3391 3579 4772 6782 7158 10173 10737 13337 13564 14316 20346 21474 26674 30519 32211 40011 40692 42948 53348 61038 64422 80022 91557 120033 122076 128844 160044 183114 240066 360099 366228 480132 720198 1440396 4045463 8090926 12136389 15911041 16181852 24272778 31822082 36409167 45225767 47733123 48545556 63644164 72818334 90451534 95466246 109227501 135677301 143199369 145636668 180903068 190932492 218455002 271354602 286398738 407031903 429598107 436910004 542709204 572797476 814063806 859196214 1221095709 1628127612 1718392428 2442191418 4884382836 53954340031 107908680062 161863020093 215817360124 323726040186 485589060279 647452080372 971178120558 1456767180837 1942356241116 2913534361674 5827068723348