Search a number
-
+
472602303320 = 235743223176021
BaseRepresentation
bin1101110000010010100…
…10101101101101011000
31200011212110121111220212
412320021102231231120
530220342142201240
61001035511310252
746100345203550
oct6701122555530
91604773544825
10472602303320
1117247a752474
127771567b388
1335748c54134
1418c3465a160
15c4606e2165
hex6e094adb58

472602303320 has 128 divisors (see below), whose sum is σ = 1249108439040. Its totient is φ = 157556206080.

The previous prime is 472602303301. The next prime is 472602303391. The reversal of 472602303320 is 23303206274.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2596910 + ... + 2772930.

It is an arithmetic number, because the mean of its divisors is an integer number (9758659680).

Almost surely, 2472602303320 is an apocalyptic number.

472602303320 is a gapful number since it is divisible by the number (40) 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 472602303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624554219520).

472602303320 is an abundant number, since it is smaller than the sum of its proper divisors (776506135720).

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

472602303320 is a wasteful number, since it uses less digits than its factorization.

472602303320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176305 (or 176301 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 32.

Adding to 472602303320 its reverse (23303206274), we get a palindrome (495905509594).

The spelling of 472602303320 in words is "four hundred seventy-two billion, six hundred two million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 223 280 301 344 430 446 602 860 892 1115 1204 1505 1561 1720 1784 2230 2408 3010 3122 4460 6020 6244 7805 8920 9589 12040 12488 15610 19178 31220 38356 47945 62440 67123 76712 95890 134246 176021 191780 268492 335615 352042 383560 536984 671230 704084 880105 1232147 1342460 1408168 1760210 2464294 2684920 3520420 4928588 6160735 7040840 7568903 9857176 12321470 15137806 24642940 30275612 37844515 39252683 49285880 52982321 60551224 75689030 78505366 105964642 151378060 157010732 196263415 211929284 264911605 274768781 302756120 314021464 392526830 423858568 529823210 549537562 785053660 1059646420 1099075124 1373843905 1570107320 1687865369 2119292840 2198150248 2747687810 3375730738 5495375620 6751461476 8439326845 10990751240 11815057583 13502922952 16878653690 23630115166 33757307380 47260230332 59075287915 67514614760 94520460664 118150575830 236301151660 472602303320