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162226420992 = 283270410773
BaseRepresentation
bin1001011100010101110…
…0101011110100000000
3120111201211122001102200
42113011130223310000
510124214430432432
6202305323113200
714502056553336
oct2270534536400
9514654561380
10162226420992
1162888649209
1227535372800
13123b45bc1ac
147bcd4abb56
154347177a7c
hex25c572bd00

162226420992 has 54 divisors (see below), whose sum is σ = 467738771682. Its totient is φ = 54075472896.

The previous prime is 162226420969. The next prime is 162226420997. The reversal of 162226420992 is 299024622261.

It can be written as a sum of positive squares in only one way, i.e., 149750424576 + 12475996416 = 386976^2 + 111696^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162226420997) 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 5 ways as a sum of consecutive naturals, for example, 35203083 + ... + 35207690.

Almost surely, 2162226420992 is an apocalyptic number.

162226420992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

162226420992 is an abundant number, since it is smaller than the sum of its proper divisors (305512350690).

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

162226420992 is an equidigital number, since it uses as much as digits as its factorization.

162226420992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70410795 (or 70410778 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 162226420992 in words is "one hundred sixty-two billion, two hundred twenty-six million, four hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 70410773 140821546 211232319 281643092 422464638 563286184 633696957 844929276 1126572368 1267393914 1689858552 2253144736 2534787828 3379717104 4506289472 5069575656 6759434208 9012578944 10139151312 13518868416 18025157888 20278302624 27037736832 40556605248 54075473664 81113210496 162226420992