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422412954624 = 2103262717309
BaseRepresentation
bin1100010010110011100…
…01100010110000000000
31111101022200111102201100
412021121301202300000
523410100204021444
6522015343334400
742342533605023
oct6113161426000
91441280442640
10422412954624
111531651119a1
1269a492b1400
1330aaabb927b
1416632b1b1ba
15aec43e8e69
hex6259c62c00

422412954624 has 132 divisors (see below), whose sum is σ = 1220069643520. Its totient is φ = 140762603520.

The previous prime is 422412954619. The next prime is 422412954673. The reversal of 422412954624 is 426459214224.

422412954624 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 12 + 9 + 5 + 4 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 422412954624.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57789882 + ... + 57797190.

Almost surely, 2422412954624 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 422412954624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610034821760).

422412954624 is an abundant number, since it is smaller than the sum of its proper divisors (797656688896).

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

422412954624 is a wasteful number, since it uses less digits than its factorization.

422412954624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13606 (or 13585 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 422412954624 in words is "four hundred twenty-two billion, four hundred twelve million, nine hundred fifty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 6271 7309 9216 12542 14618 18813 21927 25084 29236 37626 43854 50168 56439 58472 65781 75252 87708 100336 112878 116944 131562 150504 175416 200672 225756 233888 263124 301008 350832 401344 451512 467776 526248 602016 701664 802688 903024 935552 1052496 1204032 1403328 1605376 1806048 1871104 2104992 2408064 2806656 3210752 3612096 3742208 4209984 4816128 5613312 6421504 7224192 7484416 8419968 9632256 11226624 14448384 16839936 19264512 22453248 28896768 33679872 45834739 57793536 67359744 91669478 137504217 183338956 275008434 366677912 412512651 550016868 733355824 825025302 1100033736 1466711648 1650050604 2200067472 2933423296 3300101208 4400134944 5866846592 6600202416 8800269888 11733693184 13200404832 17600539776 23467386368 26400809664 35201079552 46934772736 52801619328 70402159104 105603238656 140804318208 211206477312 422412954624