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1985164236 = 22321123161241
BaseRepresentation
bin111011001010011…
…0011001111001100
312010100102210101100
41312110303033030
513031200223421
6524552543100
7100123421556
oct16624631714
95110383340
101985164236
11929634300
124749b1a90
132583816c3
1414b9164d6
15b9431c26
hex765333cc

1985164236 has 216 divisors, whose sum is σ = 5810989184. Its totient is φ = 570240000.

The previous prime is 1985164211. The next prime is 1985164241. The reversal of 1985164236 is 6324615891.

1985164236 is a `hidden beast` number, since 1 + 98 + 516 + 42 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1985164191 and 1985164200.

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 71 ways as a sum of consecutive naturals, for example, 8237076 + ... + 8237316.

Almost surely, 21985164236 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 1985164236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905494592).

1985164236 is an abundant number, since it is smaller than the sum of its proper divisors (3825824948).

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

1985164236 is a wasteful number, since it uses less digits than its factorization.

1985164236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1985164236 is about 44555.1819208496. The cubic root of 1985164236 is about 1256.7979997532.

The spelling of 1985164236 in words is "one billion, nine hundred eighty-five million, one hundred sixty-four thousand, two hundred thirty-six".