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422623645392 = 243132333898689
BaseRepresentation
bin1100010011001100101…
…01010000111011010000
31111101212100221122010010
412021212111100323100
523411013123123032
6522052311234520
742351002466564
oct6114625207320
91441770848103
10422623645392
11153263036aa3
1269aa7978a40
1330b12747670
1416652ac36a4
15aed7b65ccc
hex6266550ed0

422623645392 has 160 divisors (see below), whose sum is σ = 1227383942400. Its totient is φ = 124333203456.

The previous prime is 422623645391. The next prime is 422623645417. The reversal of 422623645392 is 293546326224.

It is a super-2 number, since 2×4226236453922 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422623645391) 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 31 ways as a sum of consecutive naturals, for example, 48634584 + ... + 48643272.

It is an arithmetic number, because the mean of its divisors is an integer number (7671149640).

Almost surely, 2422623645392 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 422623645392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613691971200).

422623645392 is an abundant number, since it is smaller than the sum of its proper divisors (804760297008).

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

422623645392 is a wasteful number, since it uses less digits than its factorization.

422623645392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12125 (or 12119 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 48.

The spelling of 422623645392 in words is "four hundred twenty-two billion, six hundred twenty-three million, six hundred forty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1196 1794 2392 3389 3588 4784 6778 7176 8689 10167 13556 14352 17378 20334 26067 27112 34756 40668 44057 52134 54224 69512 77947 81336 88114 104268 112957 132171 139024 155894 162672 176228 199847 208536 225914 233841 264342 311788 338871 352456 399694 417072 451828 467682 528684 599541 623576 677742 704912 799388 903656 935364 1013311 1057368 1199082 1247152 1355484 1598776 1807312 1870728 2026622 2114736 2398164 2598011 2710968 3039933 3197552 3741456 4053244 4796328 5196022 5421936 6079866 7794033 8106488 9592656 10392044 12159732 15588066 16212976 20784088 24319464 29447021 31176132 41568176 48638928 58894042 62352264 88341063 117788084 124704528 176682126 235576168 353364252 382811273 471152336 677281483 706728504 765622546 1148433819 1354562966 1413457008 1531245092 2031844449 2296867638 2709125932 3062490184 4063688898 4593735276 5418251864 6124980368 8127377796 8804659279 9187470552 10836503728 16254755592 17609318558 18374941104 26413977837 32509511184 35218637116 52827955674 70437274232 105655911348 140874548464 211311822696 422623645392