Search a number
-
+
256065027764 = 2271317281147263
BaseRepresentation
bin1110111001111010101…
…0100011111010110100
3220110221121112012010012
43232132222203322310
513143410121342024
6313345030115352
724333346552310
oct3563652437264
9813847465105
10256065027764
119966203a397
12417637abb58
131b1ba775210
14c57210ab40
1569da4e950e
hex3b9eaa3eb4

256065027764 has 96 divisors (see below), whose sum is σ = 586049458176. Its totient is φ = 95001661440.

The previous prime is 256065027739. The next prime is 256065027767. The reversal of 256065027764 is 467720560652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256065027767) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1665197 + ... + 1812459.

It is an arithmetic number, because the mean of its divisors is an integer number (6104681856).

Almost surely, 2256065027764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256065027764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293024729088).

256065027764 is an abundant number, since it is smaller than the sum of its proper divisors (329984430412).

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

256065027764 is a wasteful number, since it uses less digits than its factorization.

256065027764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147585 (or 147583 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 50.

The spelling of 256065027764 in words is "two hundred fifty-six billion, sixty-five million, twenty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 182 221 238 281 364 442 476 562 884 1124 1547 1967 3094 3653 3934 4777 6188 7306 7868 9554 14612 19108 25571 33439 51142 62101 66878 102284 124202 133756 147263 248404 294526 434707 589052 869414 1030841 1738828 1914419 2061682 2503471 3828838 4123364 5006942 7657676 10013884 13400933 17524297 26801866 32545123 35048594 41380903 53603732 65090246 70097188 82761806 130180492 165523612 227815861 289666321 455631722 537951739 579332642 703475351 911263444 1075903478 1158665284 1406950702 2151806956 2813901404 3765662173 4924327457 7531324346 9145179563 9848654914 15062648692 18290359126 19697309828 36580718252 64016256941 128032513882 256065027764