Search a number
-
+
320020483608 = 23347110963617
BaseRepresentation
bin1001010100000101011…
…01010000111000011000
31010121000202222222020000
410222002231100320120
520220400220433413
6403003153333000
732056256141250
oct4520255207030
91117022888200
10320020483608
111137a1246a21
1252032267160
1324240828b07
14116bc03a960
1584d0124073
hex4a82b50e18

320020483608 has 160 divisors (see below), whose sum is σ = 1025344029600. Its totient is φ = 91350540288.

The previous prime is 320020483603. The next prime is 320020483613. The reversal of 320020483608 is 806384020023.

320020483608 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 2 + 0 + 48 + 3 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (320020483603) and next prime (320020483613).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320020483603) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4998616 + ... + 5062232.

It is an arithmetic number, because the mean of its divisors is an integer number (6408400185).

Almost surely, 2320020483608 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 320020483608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512672014800).

320020483608 is an abundant number, since it is smaller than the sum of its proper divisors (705323545992).

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

320020483608 is a wasteful number, since it uses less digits than its factorization.

320020483608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64751 (or 64738 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 320020483608 in words is "three hundred twenty billion, twenty million, four hundred eighty-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1109 1134 1512 2218 2268 3327 4436 4536 6654 7763 8872 9981 13308 15526 19962 23289 26616 29943 31052 39924 46578 59886 62104 63617 69867 79848 89829 93156 119772 127234 139734 179658 186312 190851 209601 239544 254468 279468 359316 381702 419202 445319 508936 558936 572553 628803 718632 763404 838404 890638 1145106 1257606 1335957 1526808 1676808 1717659 1781276 2290212 2515212 2671914 3435318 3562552 4007871 4580424 5030424 5152977 5343828 6870636 8015742 10305954 10687656 12023613 13741272 16031484 20611908 24047226 32062968 36070839 41223816 48094452 70551253 72141678 96188904 141102506 144283356 211653759 282205012 288566712 423307518 493858771 564410024 634961277 846615036 987717542 1269922554 1481576313 1693230072 1904883831 1975435084 2539845108 2963152626 3809767662 3950870168 4444728939 5079690216 5714651493 5926305252 7619535324 8889457878 11429302986 11852610504 13334186817 15239070648 17778915756 22858605972 26668373634 35557831512 40002560451 45717211944 53336747268 80005120902 106673494536 160010241804 320020483608