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1912149936 = 2433173137227
BaseRepresentation
bin111000111111001…
…0001011110110000
311221021001021121000
41301332101132300
512404002244221
6513424002000
765246002104
oct16176213660
94837037530
101912149936
118a13a4604
12454460300
132461c8b88
14141d4b904
15b2d0ce26
hex71f917b0

1912149936 has 320 divisors, whose sum is σ = 6188175360. Its totient is φ = 562360320.

The previous prime is 1912149931. The next prime is 1912149947. The reversal of 1912149936 is 6399412191.

1912149936 is a `hidden beast` number, since 1 + 9 + 121 + 499 + 36 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1912149891 and 1912149900.

It is not an unprimeable number, because it can be changed into a prime (1912149931) 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 63 ways as a sum of consecutive naturals, for example, 8423455 + ... + 8423681.

It is an arithmetic number, because the mean of its divisors is an integer number (19338048).

Almost surely, 21912149936 is an apocalyptic number.

1912149936 is a gapful number since it is divisible by the number (16) 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 1912149936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094087680).

1912149936 is an abundant number, since it is smaller than the sum of its proper divisors (4276025424).

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

1912149936 is a wasteful number, since it uses less digits than its factorization.

1912149936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 1912149936 is about 43728.1366627941. The cubic root of 1912149936 is about 1241.1968015097.

The spelling of 1912149936 in words is "one billion, nine hundred twelve million, one hundred forty-nine thousand, nine hundred thirty-six".