Search a number
-
+
54312421521000 = 23353137132147011
BaseRepresentation
bin11000101100101100110001…
…00101110111011001101000
321010022012212001001122021110
430112112120211313121220
524104323314402133000
6311302440524510320
714303641302510546
oct1426263045673150
9233265761048243
1054312421521000
111633a850032595
1261121400ab3a0
13243c840919c26
14d5aa41670d96
15642bcda5e850
hex316598977668

54312421521000 has 128 divisors (see below), whose sum is σ = 170691652460160. Its totient is φ = 14377594688000.

The previous prime is 54312421520993. The next prime is 54312421521011. The reversal of 54312421521000 is 12512421345.

54312421521000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65662506 + ... + 66484505.

It is an arithmetic number, because the mean of its divisors is an integer number (1333528534845).

Almost surely, 254312421521000 is an apocalyptic number.

54312421521000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54312421521000 is an abundant number, since it is smaller than the sum of its proper divisors (116379230939160).

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

54312421521000 is a wasteful number, since it uses less digits than its factorization.

54312421521000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132147172 (or 132147158 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 54312421521000 its reverse (12512421345), we get a palindrome (54324933942345).

The spelling of 54312421521000 in words is "fifty-four trillion, three hundred twelve billion, four hundred twenty-one million, five hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 137 150 200 250 274 300 375 411 500 548 600 685 750 822 1000 1096 1370 1500 1644 2055 2740 3000 3288 3425 4110 5480 6850 8220 10275 13700 16440 17125 20550 27400 34250 41100 51375 68500 82200 102750 137000 205500 411000 132147011 264294022 396441033 528588044 660735055 792882066 1057176088 1321470110 1585764132 1982205165 2642940220 3171528264 3303675275 3964410330 5285880440 6607350550 7928820660 9911025825 13214701100 15857641320 16518376375 18104140507 19822051650 26429402200 33036752750 36208281014 39644103300 49555129125 54312421521 66073505500 72416562028 79288206600 90520702535 99110258250 108624843042 132147011000 144833124056 181041405070 198220516500 217249686084 271562107605 362082810140 396441033000 434499372168 452603512675 543124215210 724165620280 905207025350 1086248430420 1357810538025 1810414050700 2172496860840 2263017563375 2715621076050 3620828101400 4526035126750 5431242152100 6789052690125 9052070253500 10862484304200 13578105380250 18104140507000 27156210760500 54312421521000