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1299122016 = 25373197941
BaseRepresentation
bin100110101101111…
…0000011101100000
310100112112020101020
41031123300131200
510130033401031
6332524405440
744123232513
oct11533603540
93315466336
101299122016
11607358665
123030a6880
131791bb46a
14c4772d7a
15790ba096
hex4d6f0760

1299122016 has 96 divisors (see below), whose sum is σ = 3478150368. Its totient is φ = 424488960.

The previous prime is 1299122009. The next prime is 1299122029. The reversal of 1299122016 is 6102219921.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1380106 + ... + 1381046.

It is an arithmetic number, because the mean of its divisors is an integer number (36230733).

Almost surely, 21299122016 is an apocalyptic number.

1299122016 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 1299122016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739075184).

1299122016 is an abundant number, since it is smaller than the sum of its proper divisors (2179028352).

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

1299122016 is a wasteful number, since it uses less digits than its factorization.

1299122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1299122016 is about 36043.3352507783. The cubic root of 1299122016 is about 1091.1471288843.

The spelling of 1299122016 in words is "one billion, two hundred ninety-nine million, one hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 197 219 292 394 438 584 591 788 876 941 1168 1182 1576 1752 1882 2336 2364 2823 3152 3504 3764 4728 5646 6304 7008 7528 9456 11292 14381 15056 18912 22584 28762 30112 43143 45168 57524 68693 86286 90336 115048 137386 172572 185377 206079 230096 274772 345144 370754 412158 460192 549544 556131 690288 741508 824316 1099088 1112262 1380576 1483016 1648632 2198176 2224524 2966032 3297264 4449048 5932064 6594528 8898096 13532521 17796192 27065042 40597563 54130084 81195126 108260168 162390252 216520336 324780504 433040672 649561008 1299122016