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1016522016 = 25337476089
BaseRepresentation
bin111100100101101…
…110010100100000
32121211202200001120
4330211232110200
54040212201031
6244511332240
734122203016
oct7445562440
92554680046
101016522016
11481889044
12244521080
131327a3523
149900c8b6
155e396a96
hex3c96e520

1016522016 has 96 divisors (see below), whose sum is σ = 2799256320. Its totient is φ = 322615296.

The previous prime is 1016522011. The next prime is 1016522029. The reversal of 1016522016 is 6102256101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1016522011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163900 + ... + 169988.

It is an arithmetic number, because the mean of its divisors is an integer number (29158920).

Almost surely, 21016522016 is an apocalyptic number.

1016522016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1016522016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399628160).

1016522016 is an abundant number, since it is smaller than the sum of its proper divisors (1782734304).

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

1016522016 is a wasteful number, since it uses less digits than its factorization.

1016522016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6186 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1016522016 is about 31882.9423987185. The cubic root of 1016522016 is about 1005.4772832608.

Adding to 1016522016 its reverse (6102256101), we get a palindrome (7118778117).

The spelling of 1016522016 in words is "one billion, sixteen million, five hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 47 48 74 94 96 111 141 148 188 222 282 296 376 444 564 592 752 888 1128 1184 1504 1739 1776 2256 3478 3552 4512 5217 6089 6956 10434 12178 13912 18267 20868 24356 27824 36534 41736 48712 55648 73068 83472 97424 146136 166944 194848 225293 286183 292272 450586 572366 584544 675879 858549 901172 1144732 1351758 1717098 1802344 2289464 2703516 3434196 3604688 4578928 5407032 6868392 7209376 9157856 10588771 10814064 13736784 21177542 21628128 27473568 31766313 42355084 63532626 84710168 127065252 169420336 254130504 338840672 508261008 1016522016