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322742420820 = 223251793013449
BaseRepresentation
bin1001011001001001111…
…00101000010101010100
31010212001110210201010100
410230210330220111110
520241434024431240
6404133230054100
732213600212251
oct4544474502524
91125043721110
10322742420820
11114968756706
125267194a330
1324585723651
1411899740428
1585de08de30
hex4b24f28554

322742420820 has 36 divisors (see below), whose sum is σ = 978985343700. Its totient is φ = 86064645504.

The previous prime is 322742420771. The next prime is 322742420843. The reversal of 322742420820 is 28024247223.

322742420820 is a `hidden beast` number, since 3 + 2 + 2 + 7 + 424 + 208 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 250292085264 + 72450335556 = 500292^2 + 269166^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×3227424208204 (a number of 47 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 896506545 + ... + 896506904.

It is an arithmetic number, because the mean of its divisors is an integer number (27194037325).

Almost surely, 2322742420820 is an apocalyptic number.

322742420820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

322742420820 is an abundant number, since it is smaller than the sum of its proper divisors (656242922880).

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

322742420820 is a wasteful number, since it uses less digits than its factorization.

322742420820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793013464 (or 1793013459 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 322742420820 in words is "three hundred twenty-two billion, seven hundred forty-two million, four hundred twenty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1793013449 3586026898 5379040347 7172053796 8965067245 10758080694 16137121041 17930134490 21516161388 26895201735 32274242082 35860268980 53790403470 64548484164 80685605205 107580806940 161371210410 322742420820