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1256320016 = 24729111759
BaseRepresentation
bin100101011100001…
…1110110000010000
310020112222200001222
41022320132300100
510033104220031
6324355144212
743063354400
oct11270366020
93215880058
101256320016
11595183906
122b08a5068
13170383433
14bcbd0800
1575462e7b
hex4ae1ec10

1256320016 has 60 divisors (see below), whose sum is σ = 2836247040. Its totient is φ = 537526080.

The previous prime is 1256319989. The next prime is 1256320057. The reversal of 1256320016 is 6100236521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 713345 + ... + 715103.

It is an arithmetic number, because the mean of its divisors is an integer number (47270784).

Almost surely, 21256320016 is an apocalyptic number.

1256320016 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 1256320016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418123520).

1256320016 is an abundant number, since it is smaller than the sum of its proper divisors (1579927024).

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

1256320016 is a wasteful number, since it uses less digits than its factorization.

1256320016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1256320016 is about 35444.6048927055. The cubic root of 1256320016 is about 1079.0297687883.

Adding to 1256320016 its reverse (6100236521), we get a palindrome (7356556537).

The spelling of 1256320016 in words is "one billion, two hundred fifty-six million, three hundred twenty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 911 1759 1822 3518 3644 6377 7036 7288 12313 12754 14072 14576 24626 25508 28144 44639 49252 51016 86191 89278 98504 102032 172382 178556 197008 344764 357112 689528 714224 1379056 1602449 3204898 6409796 11217143 12819592 22434286 25639184 44868572 78520001 89737144 157040002 179474288 314080004 628160008 1256320016