Search a number
-
+
53005275048 = 233112331128069
BaseRepresentation
bin110001010111010111…
…000100111110101000
312001211000202221222010
4301113113010332220
51332023322300143
640203354555520
73554343255405
oct612727047650
9161730687863
1053005275048
1120530106740
12a333438ba0
134cc958029b
1427cb90b2ac
1515a362ba33
hexc575c4fa8

53005275048 has 128 divisors (see below), whose sum is σ = 151335475200. Its totient is φ = 15313900800.

The previous prime is 53005275041. The next prime is 53005275097. The reversal of 53005275048 is 84057250035.

It is a junction number, because it is equal to n+sod(n) for n = 53005274997 and 53005275015.

It is not an unprimeable number, because it can be changed into a prime (53005275041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1874358 + ... + 1902426.

It is an arithmetic number, because the mean of its divisors is an integer number (1182308400).

Almost surely, 253005275048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53005275048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75667737600).

53005275048 is an abundant number, since it is smaller than the sum of its proper divisors (98330200152).

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

53005275048 is a wasteful number, since it uses less digits than its factorization.

53005275048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28423 (or 28419 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 53005275048 in words is "fifty-three billion, five million, two hundred seventy-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 311 506 552 622 759 933 1012 1244 1518 1866 2024 2488 3036 3421 3732 6072 6842 7153 7464 10263 13684 14306 20526 21459 27368 28069 28612 41052 42918 56138 57224 78683 82104 84207 85836 112276 157366 168414 171672 224552 236049 308759 314732 336828 472098 617518 629464 645587 673656 926277 944196 1235036 1291174 1852554 1888392 1936761 2470072 2582348 3705108 3873522 5164696 7101457 7410216 7747044 8729459 14202914 15494088 17458918 21304371 26188377 28405828 34917836 42608742 52376754 56811656 69835672 85217484 96024049 104753508 170434968 192048098 200777557 209507016 288072147 384096196 401555114 576144294 602332671 768192392 803110228 1152288588 1204665342 1606220456 2208553127 2304577176 2409330684 4417106254 4818661368 6625659381 8834212508 13251318762 17668425016 26502637524 53005275048