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146255335050 = 235211255134747
BaseRepresentation
bin1000100000110101111…
…1110100111010001010
3111222111210012211021010
42020031133310322022
54344012331210200
6151104435224350
713365225556506
oct2101537647212
9458453184233
10146255335050
1157032361a30
12244187480b6
1310a3a81a896
147116305306
153c0ee94150
hex220d7f4e8a

146255335050 has 96 divisors (see below), whose sum is σ = 395853663744. Its totient is φ = 35440920000.

The previous prime is 146255335049. The next prime is 146255335067. The reversal of 146255335050 is 50533552641.

146255335050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4191777 + ... + 4226523.

It is an arithmetic number, because the mean of its divisors is an integer number (4123475664).

Almost surely, 2146255335050 is an apocalyptic number.

146255335050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146255335050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197926831872).

146255335050 is an abundant number, since it is smaller than the sum of its proper divisors (249598328694).

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

146255335050 is a wasteful number, since it uses less digits than its factorization.

146255335050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37324 (or 37319 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

Adding to 146255335050 its reverse (50533552641), we get a palindrome (196788887691).

The spelling of 146255335050 in words is "one hundred forty-six billion, two hundred fifty-five million, three hundred thirty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 2551 5102 7653 12755 15306 25510 28061 34747 38265 56122 63775 69494 76530 84183 104241 127550 140305 168366 173735 191325 208482 280610 347470 382217 382650 420915 521205 701525 764434 841830 868675 1042410 1146651 1403050 1737350 1911085 2104575 2293302 2606025 3822170 4209150 5212050 5733255 9555425 11466510 19110850 28666275 57332550 88639597 177279194 265918791 443197985 531837582 886395970 975035567 1329593955 1950071134 2215989925 2659187910 2925106701 4431979850 4875177835 5850213402 6647969775 9750355670 13295939550 14625533505 24375889175 29251067010 48751778350 73127667525 146255335050