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372085966252 = 2272111321971757
BaseRepresentation
bin1010110101000100000…
…11010100010110101100
31022120102022101112101001
411122202003110112230
522044013001410002
6442533421330044
735611431346300
oct5324203242654
91276368345331
10372085966252
11133889911720
1260142a06924
132911a48c500
141401abcdd00
159a2aeb3a87
hex56a20d45ac

372085966252 has 432 divisors, whose sum is σ = 956394190080. Its totient is φ = 124823462400.

The previous prime is 372085966223. The next prime is 372085966303. The reversal of 372085966252 is 252669580273.

It is a junction number, because it is equal to n+sod(n) for n = 372085966193 and 372085966202.

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 143 ways as a sum of consecutive naturals, for example, 491526658 + ... + 491527414.

It is an arithmetic number, because the mean of its divisors is an integer number (2213875440).

Almost surely, 2372085966252 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 372085966252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478197095040).

372085966252 is an abundant number, since it is smaller than the sum of its proper divisors (584308223828).

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

372085966252 is a wasteful number, since it uses less digits than its factorization.

372085966252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 372085966252 in words is "three hundred seventy-two billion, eighty-five million, nine hundred sixty-six thousand, two hundred fifty-two".