Search a number
-
+
332050216242400 = 2552462191898033
BaseRepresentation
bin100101101111111110111011…
…1001011111100110011100000
31121112200200122111012121201221
41023133331313023330303200
5322010302320324224100
63134113432524504424
7126640556621533405
oct11337756713746340
91545620574177657
10332050216242400
119688a7845a0537
12312a96816ab114
131133827c89b416
145bdd45d9b22ac
15285c5c4e7201a
hex12dff772fcce0

332050216242400 has 72 divisors (see below), whose sum is σ = 810620246921184. Its totient is φ = 132819651225600.

The previous prime is 332050216242391. The next prime is 332050216242421. The reversal of 332050216242400 is 4242612050233.

It is a super-2 number, since 2×3320502162424002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369303784 + ... + 370201816.

It is an arithmetic number, because the mean of its divisors is an integer number (11258614540572).

Almost surely, 2332050216242400 is an apocalyptic number.

It is an amenable number.

332050216242400 is an abundant number, since it is smaller than the sum of its proper divisors (478570030678784).

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

332050216242400 is a wasteful number, since it uses less digits than its factorization.

332050216242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360244 (or 1360231 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 332050216242400 its reverse (4242612050233), we get a palindrome (336292828292633).

The spelling of 332050216242400 in words is "three hundred thirty-two trillion, fifty billion, two hundred sixteen million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 462191 898033 924382 1796066 1848764 2310955 3592132 3697528 4490165 4621910 7184264 7395056 8980330 9243820 11554775 14368528 14790112 17960660 18487640 22450825 23109550 28737056 35921320 36975280 44901650 46219100 71842640 73950560 89803300 92438200 143685280 179606600 184876400 359213200 369752800 718426400 415062770303 830125540606 1660251081212 2075313851515 3320502162424 4150627703030 6641004324848 8301255406060 10376569257575 13282008649696 16602510812120 20753138515150 33205021624240 41506277030300 66410043248480 83012554060600 166025108121200 332050216242400