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352122412104 = 233215147896763
BaseRepresentation
bin1010001111111000010…
…00011001110001001000
31020122220000102220102200
411013330020121301020
521232121314141404
6425432433200200
734303631055441
oct5077410316110
91218800386380
10352122412104
11126374a15a41
12582b1100060
1327288505788
14130856b42c8
15925d546839
hex51fc219c48

352122412104 has 96 divisors (see below), whose sum is σ = 960322958400. Its totient is φ = 116555241600.

The previous prime is 352122412079. The next prime is 352122412123. The reversal of 352122412104 is 401214221253.

352122412104 is a `hidden beast` number, since 3 + 521 + 2 + 24 + 12 + 104 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 52062627 + ... + 52069389.

It is an arithmetic number, because the mean of its divisors is an integer number (10003364150).

Almost surely, 2352122412104 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 352122412104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480161479200).

352122412104 is an abundant number, since it is smaller than the sum of its proper divisors (608200546296).

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

352122412104 is a wasteful number, since it uses less digits than its factorization.

352122412104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11715 (or 11708 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 352122412104 its reverse (401214221253), we get a palindrome (753336633357).

The spelling of 352122412104 in words is "three hundred fifty-two billion, one hundred twenty-two million, four hundred twelve thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1812 2718 3624 4789 5436 6763 9578 10872 13526 14367 19156 20289 27052 28734 38312 40578 43101 54104 57468 60867 81156 86202 114936 121734 162312 172404 243468 344808 486936 723139 1021213 1446278 2042426 2169417 2892556 3063639 4084852 4338834 5785112 6127278 6508251 8169704 8677668 9190917 12254556 13016502 17355336 18381834 24509112 26033004 32388007 36763668 52066008 64776014 73527336 97164021 129552028 194328042 259104056 291492063 388656084 582984126 777312168 1165968252 2331936504 4890589057 9781178114 14671767171 19562356228 29343534342 39124712456 44015301513 58687068684 88030603026 117374137368 176061206052 352122412104