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422780812874688 = 26317157825021881
BaseRepresentation
bin110000000100001000101010…
…0001010110101001111000000
32001102221110011202202020221110
41200020101110022311033000
5420403320101043442223
64055102454003523320
7155023622445255432
oct14010212412651700
92042843152666843
10422780812874688
11112790376aa3a54
123b501906989540
13151ba0a0ba7918
1476589b4352652
1533d2774a84d93
hex18084542b53c0

422780812874688 has 112 divisors (see below), whose sum is σ = 1191952014063264. Its totient is φ = 131792295198720.

The previous prime is 422780812874657. The next prime is 422780812874689. The reversal of 422780812874688 is 886478218087224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422780812874689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 411998493 + ... + 413023388.

Almost surely, 2422780812874688 is an apocalyptic number.

422780812874688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

422780812874688 is an abundant number, since it is smaller than the sum of its proper divisors (769171201188576).

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

422780812874688 is a wasteful number, since it uses less digits than its factorization.

422780812874688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825022070 (or 825022060 counting only the distinct ones).

The product of its (nonzero) digits is 1233125376, while the sum is 75.

The spelling of 422780812874688 in words is "four hundred twenty-two trillion, seven hundred eighty billion, eight hundred twelve million, eight hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 157 192 204 272 314 408 471 544 628 816 942 1088 1256 1632 1884 2512 2669 3264 3768 5024 5338 7536 8007 10048 10676 15072 16014 21352 30144 32028 42704 64056 85408 128112 170816 256224 512448 825021881 1650043762 2475065643 3300087524 4950131286 6600175048 9900262572 13200350096 14025371977 19800525144 26400700192 28050743954 39601050288 42076115931 52801400384 56101487908 79202100576 84152231862 112202975816 129528435317 158404201152 168304463724 224405951632 259056870634 336608927448 388585305951 448811903264 518113741268 673217854896 777170611902 897623806528 1036227482536 1346435709792 1554341223804 2072454965072 2201983400389 2692871419584 3108682447608 4144909930144 4403966800778 6217364895216 6605950201167 8289819860288 8807933601556 12434729790432 13211900402334 17615867203112 24869459580864 26423800804668 35231734406224 52847601609336 70463468812448 105695203218672 140926937624896 211390406437344 422780812874688