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422323617804 = 2231141709110063
BaseRepresentation
bin1100010010101000111…
…00110000000000001100
31111101002110101122122020
412021110130300000030
523404404321232204
6522002432450140
742340400343564
oct6112434600014
91441073348566
10422323617804
11153119743910
1269a233a9950
1330a9553a14a
1416624d03da4
15aebb64dbd9
hex625473000c

422323617804 has 96 divisors (see below), whose sum is σ = 1102788449280. Its totient is φ = 124678233600.

The previous prime is 422323617787. The next prime is 422323617809. The reversal of 422323617804 is 408716323224.

It is not an unprimeable number, because it can be changed into a prime (422323617809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3782077 + ... + 3892139.

It is an arithmetic number, because the mean of its divisors is an integer number (11487379680).

Almost surely, 2422323617804 is an apocalyptic number.

422323617804 is a gapful number since it is divisible by the number (44) 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 422323617804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551394224640).

422323617804 is an abundant number, since it is smaller than the sum of its proper divisors (680464831476).

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

422323617804 is a wasteful number, since it uses less digits than its factorization.

422323617804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110831 (or 110829 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 422323617804 in words is "four hundred twenty-two billion, three hundred twenty-three million, six hundred seventeen thousand, eight hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 709 902 1353 1418 1804 2127 2706 2836 4254 5412 7799 8508 15598 23397 29069 31196 46794 58138 87207 93588 110063 116276 174414 220126 319759 330189 348828 440252 639518 660378 959277 1210693 1279036 1320756 1918554 2421386 3632079 3837108 4512583 4842772 7264158 9025166 13537749 14528316 18050332 27075498 49638413 54150996 78034667 99276826 148915239 156069334 198553652 234104001 297830478 312138668 468208002 595660956 858381337 936416004 1716762674 2575144011 3199421347 3433525348 5150288022 6398842694 9598264041 10300576044 12797685388 19196528082 35193634817 38393056164 70387269634 105580904451 140774539268 211161808902 422323617804