Search a number
-
+
320000650596 = 223411228572
BaseRepresentation
bin1001010100000011000…
…01100110110101100100
31010120222101200100110000
410222001201212311210
520220330131304341
6403001204301300
732055625436124
oct4520141466544
91116871610400
10320000650596
11113791030100
12520276a1830
13242396a36c3
14116b9556c84
1584cd5078b6
hex4a81866d64

320000650596 has 135 divisors (see below), whose sum is σ = 919829998857. Its totient is φ = 96935952960.

The previous prime is 320000650591. The next prime is 320000650637. The reversal of 320000650596 is 695056000023.

The square root of 320000650596 is 565686.

It is a perfect power (a square), and thus also a powerful number.

320000650596 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 0 + 0 + 65 + 0 + 596 = 666.

It can be written as a sum of positive squares in only one way, i.e., 215583776100 + 104416874496 = 464310^2 + 323136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 320000650596.

It is not an unprimeable number, because it can be changed into a prime (320000650591) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 112004400 + ... + 112007256.

Almost surely, 2320000650596 is an apocalyptic number.

320000650596 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

320000650596 is the 565686-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320000650596

320000650596 is an abundant number, since it is smaller than the sum of its proper divisors (599829348261).

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

320000650596 is an equidigital number, since it uses as much as digits as its factorization.

320000650596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Multiplying 320000650596 by its sum of digits (36), we get a square (11520023421456 = 33941162).

320000650596 divided by its sum of digits (36) gives a square (8888906961 = 942812).

The spelling of 320000650596 in words is "three hundred twenty billion, six hundred fifty thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 2857 3267 3564 4356 5714 6534 8571 9801 11428 13068 17142 19602 25713 31427 34284 39204 51426 62854 77139 94281 102852 125708 154278 188562 231417 282843 308556 345697 377124 462834 565686 691394 848529 925668 1037091 1131372 1382788 1697058 2074182 2545587 3111273 3394116 4148364 5091174 6222546 8162449 9333819 10182348 12445092 16324898 18667638 24487347 28001457 32649796 37335276 48974694 56002914 73462041 89786939 97949388 112005828 146924082 179573878 220386123 269360817 293848164 359147756 440772246 538721634 661158369 808082451 881544492 987656329 1077443268 1322316738 1616164902 1975312658 2424247353 2644633476 2962968987 3232329804 3950625316 4848494706 5925937974 7272742059 8888906961 9696989412 11851875948 14545484118 17777813922 26666720883 29090968236 35555627844 53333441766 80000162649 106666883532 160000325298 320000650596