Search a number
-
+
320826805680 = 243517121764613
BaseRepresentation
bin1001010101100101100…
…01001000110110110000
31010200002222020101011110
410222302301020312300
520224023130240210
6403215155513320
732115246565413
oct4526261106660
91120088211143
10320826805680
111140754056a7
12522182b8840
132433b8b3474
141175716db7a
15852ace9420
hex4ab2c48db0

320826805680 has 160 divisors (see below), whose sum is σ = 1053948417984. Its totient is φ = 80453828608.

The previous prime is 320826805679. The next prime is 320826805709. The reversal of 320826805680 is 86508628023.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4933054 + ... + 4997666.

Almost surely, 2320826805680 is an apocalyptic number.

320826805680 is a gapful number since it is divisible by the number (30) 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 320826805680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526974208992).

320826805680 is an abundant number, since it is smaller than the sum of its proper divisors (733121612304).

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

320826805680 is a wasteful number, since it uses less digits than its factorization.

320826805680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65863 (or 65857 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 320826805680 in words is "three hundred twenty billion, eight hundred twenty-six million, eight hundred five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1217 1360 2040 2434 3651 4080 4868 6085 7302 9736 12170 14604 18255 19472 20689 24340 29208 36510 41378 48680 58416 62067 64613 73020 82756 97360 103445 124134 129226 146040 165512 193839 206890 248268 258452 292080 310335 323065 331024 387678 413780 496536 516904 620670 646130 775356 827560 969195 993072 1033808 1098421 1241340 1292260 1550712 1655120 1938390 2196842 2482680 2584520 3101424 3295263 3876780 4393684 4965360 5169040 5492105 6590526 7753560 8787368 10984210 13181052 15507120 16476315 17574736 21968420 26362104 32952630 43936840 52724208 65905260 78634021 87873680 131810520 157268042 235902063 263621040 314536084 393170105 471804126 629072168 786340210 943608252 1179510315 1258144336 1336778357 1572680420 1887216504 2359020630 2673556714 3145360840 3774433008 4010335071 4718041260 5347113428 6290721680 6683891785 8020670142 9436082520 10694226856 13367783570 16041340284 18872165040 20051675355 21388453712 26735567140 32082680568 40103350710 53471134280 64165361136 80206701420 106942268560 160413402840 320826805680