Search a number
-
+
256622447634072 = 233136285113086631
BaseRepresentation
bin111010010110010110010001…
…110101010010011010011000
31020122121212101121100220002020
4322112112101311102122120
5232114000233043242242
62305442420330534440
7105024234324120342
oct7226262165223230
91218555347326066
10256622447634072
1174849a72613083
1224947196597420
13b02651549cc50
144752842686292
151ea05135a56ec
hexe96591d52698

256622447634072 has 64 divisors (see below), whose sum is σ = 690917635349760. Its totient is φ = 78959490768000.

The previous prime is 256622447634067. The next prime is 256622447634107. The reversal of 256622447634072 is 270436744226652.

It is a junction number, because it is equal to n+sod(n) for n = 256622447633997 and 256622447634015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13066197 + ... + 26152827.

It is an arithmetic number, because the mean of its divisors is an integer number (10795588052340).

Almost surely, 2256622447634072 is an apocalyptic number.

It is an amenable number.

256622447634072 is an abundant number, since it is smaller than the sum of its proper divisors (434295187715688).

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

256622447634072 is a wasteful number, since it uses less digits than its factorization.

256622447634072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13149504 (or 13149500 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 60.

The spelling of 256622447634072 in words is "two hundred fifty-six trillion, six hundred twenty-two billion, four hundred forty-seven million, six hundred thirty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 62851 125702 188553 251404 377106 502808 754212 817063 1508424 1634126 2451189 3268252 4902378 6536504 9804756 13086631 19609512 26173262 39259893 52346524 78519786 104693048 157039572 170126203 314079144 340252406 510378609 680504812 1020757218 1361009624 2041514436 4083028872 822507844981 1645015689962 2467523534943 3290031379924 4935047069886 6580062759848 9870094139772 10692601984753 19740188279544 21385203969506 32077805954259 42770407939012 64155611908518 85540815878024 128311223817036 256622447634072