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422012194632 = 233272109372
BaseRepresentation
bin1100010010000011110…
…00110000111101001000
31111100021202101201100200
412021001320300331020
523403240110212012
6521511505532200
742326566316400
oct6110170607510
91440252351320
10422012194632
11152a79977a96
1269957044060
1330a45b6ca92
14165d57d9800
15ae9e1353dc
hex6241e30f48

422012194632 has 108 divisors (see below), whose sum is σ = 1329675301305. Its totient is φ = 120563888256.

The previous prime is 422012194627. The next prime is 422012194633. The reversal of 422012194632 is 236491210224.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

422012194632 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 1 + 2 + 19 + 4 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 297336821796 + 124675372836 = 545286^2 + 353094^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=459354.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (422012194633) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38580268 + ... + 38591204.

Almost surely, 2422012194632 is an apocalyptic number.

422012194632 is a gapful number since it is divisible by the number (42) 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 422012194632

422012194632 is an abundant number, since it is smaller than the sum of its proper divisors (907663106673).

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

422012194632 is an equidigital number, since it uses as much as digits as its factorization.

422012194632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21900 (or 10949 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 422012194632 in words is "four hundred twenty-two billion, twelve million, one hundred ninety-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 10937 21874 32811 43748 65622 76559 87496 98433 131244 153118 196866 229677 262488 306236 393732 459354 535913 612472 689031 787464 918708 1071826 1378062 1607739 1837416 2143652 2756124 3215478 4287304 4823217 5512248 6430956 9646434 12861912 19292868 38585736 119617969 239235938 358853907 478471876 717707814 837325783 956943752 1076561721 1435415628 1674651566 2153123442 2511977349 2870831256 3349303132 4306246884 5023954698 5861280481 6698606264 7535932047 8612493768 10047909396 11722560962 15071864094 17583841443 20095818792 23445121924 30143728188 35167682886 46890243848 52751524329 60287456376 70335365772 105503048658 140670731544 211006097316 422012194632