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3516220230016 = 27132821919777
BaseRepresentation
bin110011001010101111000…
…011101100100110000000
3110110010222102201001021111
4303022233003230212000
5430102204334330031
611251155042333104
7512016133545664
oct63125703544600
913403872631244
103516220230016
11113624771a04a
1248957305a194
131c6769252200
14c22864188a4
15616e93711b1
hex332af0ec980

3516220230016 has 96 divisors (see below), whose sum is σ = 7586569841400. Its totient is φ = 1622591373312.

The previous prime is 3516220230011. The next prime is 3516220230059. The reversal of 3516220230016 is 6100320226153.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3516220230016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3516220230011) 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 11 ways as a sum of consecutive naturals, for example, 177783520 + ... + 177803296.

Almost surely, 23516220230016 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 3516220230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793284920700).

3516220230016 is an abundant number, since it is smaller than the sum of its proper divisors (4070349611384).

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

3516220230016 is a wasteful number, since it uses less digits than its factorization.

3516220230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28036 (or 28011 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 3516220230016 its reverse (6100320226153), we get a palindrome (9616540456169).

The spelling of 3516220230016 in words is "three trillion, five hundred sixteen billion, two hundred twenty million, two hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 5408 8219 10816 16438 19777 21632 32876 39554 65752 79108 106847 131504 158216 213694 257101 263008 316432 427388 514202 526016 632864 854776 1028404 1052032 1265728 1389011 1709552 2056808 2531456 2778022 3342313 3419104 4113616 5556044 6684626 6838208 8227232 11112088 13369252 13676416 16454464 22224176 26738504 32908928 44448352 53477008 88896704 106954016 162547163 177793408 213908032 325094326 427816064 650188652 1300377304 2113113119 2600754608 4226226238 5201509216 8452452476 10403018432 16904904952 20806036864 27470470547 33809809904 54940941094 67619619808 109881882188 135239239616 219763764376 270478479232 439527528752 879055057504 1758110115008 3516220230016