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16065344416 = 25111013111453
BaseRepresentation
bin11101111011001000…
…11011001110100000
31112110121210001111011
432331210123032200
5230400212010131
611214052030304
71106054113552
oct167544331640
945417701434
1016065344416
1168a4517050
123144302394
131690484974
14ac59014d2
156406020b1
hex3bd91b3a0

16065344416 has 96 divisors (see below), whose sum is σ = 34981704576. Its totient is φ = 7201920000.

The previous prime is 16065344413. The next prime is 16065344453. The reversal of 16065344416 is 61444356061.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (16065344413) 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, 11055946 + ... + 11057398.

It is an arithmetic number, because the mean of its divisors is an integer number (364392756).

Almost surely, 216065344416 is an apocalyptic number.

16065344416 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 16065344416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17490852288).

16065344416 is an abundant number, since it is smaller than the sum of its proper divisors (18916360160).

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

16065344416 is a wasteful number, since it uses less digits than its factorization.

16065344416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 16065344416 in words is "sixteen billion, sixty-five million, three hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 311 352 404 622 808 1111 1244 1453 1616 2222 2488 2906 3232 3421 4444 4976 5812 6842 8888 9952 11624 13684 15983 17776 23248 27368 31411 31966 35552 46496 54736 62822 63932 109472 125644 127864 146753 251288 255728 293506 345521 451883 502576 511456 587012 691042 903766 1005152 1174024 1382084 1614283 1807532 2348048 2764168 3228566 3615064 4696096 4970713 5528336 6457132 7230128 9941426 11056672 12914264 14460256 19882852 25828528 39765704 45640183 51657056 79531408 91280366 159062816 182560732 365121464 502042013 730242928 1004084026 1460485856 2008168052 4016336104 8032672208 16065344416