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6422314640 = 2457193119471
BaseRepresentation
bin1011111101100110…
…01011111010010000
3121120120201101110012
411332303023322100
5101123103032030
62541140254052
7315102526250
oct57663137220
917516641405
106422314640
1127a6258055
1212b29a1328
137b47211a1
1444cd41960
15278c58095
hex17eccbe90

6422314640 has 160 divisors (see below), whose sum is σ = 18543575040. Its totient is φ = 2018649600.

The previous prime is 6422314603. The next prime is 6422314643. The reversal of 6422314640 is 464132246.

It is a super-2 number, since 2×64223146402 = 82492250670316659200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6422314597 and 6422314606.

It is not an unprimeable number, because it can be changed into a prime (6422314643) by changing a digit.

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, 320105 + ... + 339575.

It is an arithmetic number, because the mean of its divisors is an integer number (115897344).

Almost surely, 26422314640 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 6422314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9271787520).

6422314640 is an abundant number, since it is smaller than the sum of its proper divisors (12121260400).

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

6422314640 is a wasteful number, since it uses less digits than its factorization.

6422314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19541 (or 19535 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 6422314640 is about 80139.3451433190. The cubic root of 6422314640 is about 1858.7908509246.

Adding to 6422314640 its reverse (464132246), we get a palindrome (6886446886).

The spelling of 6422314640 in words is "six billion, four hundred twenty-two million, three hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 31 35 38 40 56 62 70 76 80 95 112 124 133 140 152 155 190 217 248 266 280 304 310 380 434 496 532 560 589 620 665 760 868 1064 1085 1178 1240 1330 1520 1736 2128 2170 2356 2480 2660 2945 3472 4123 4340 4712 5320 5890 8246 8680 9424 10640 11780 16492 17360 19471 20615 23560 32984 38942 41230 47120 65968 77884 82460 97355 136297 155768 164920 194710 272594 311536 329840 369949 389420 545188 603601 681485 739898 778840 1090376 1207202 1362970 1479796 1557680 1849745 2180752 2414404 2589643 2725940 2959592 3018005 3699490 4225207 4828808 5179286 5451880 5919184 6036010 7398980 8450414 9657616 10358572 10903760 11468419 12072020 12948215 14797960 16900828 20717144 21126035 22936838 24144040 25896430 29595920 33801656 41434288 42252070 45873676 48288080 51792860 57342095 67603312 80278933 84504140 91747352 103585720 114684190 160557866 169008280 183494704 207171440 229368380 321115732 338016560 401394665 458736760 642231464 802789330 917473520 1284462928 1605578660 3211157320 6422314640