Base | Representation |
---|---|
bin | 111011011111011… |
… | …0101110010100000 |
3 | 12011010011200200000 |
4 | 1312332311302200 |
5 | 13042010402421 |
6 | 530025100000 |
7 | 100316201400 |
oct | 16676656240 |
9 | 5133150600 |
10 | 1996184736 |
11 | 934881157 |
12 | 478627600 |
13 | 25a73c900 |
14 | 14d184800 |
15 | ba3ac226 |
hex | 76fb5ca0 |
1996184736 has 648 divisors, whose sum is σ = 7654518144. Its totient is φ = 509483520.
The previous prime is 1996184717. The next prime is 1996184741. The reversal of 1996184736 is 6374816991.
1996184736 is a `hidden beast` number, since 19 + 9 + 618 + 4 + 7 + 3 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (648).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (1959552) is a multiple of the sum of its prime divisors (56).
It is an unprimeable number.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 64393041 + ... + 64393071.
It is an arithmetic number, because the mean of its divisors is an integer number (11812528).
Almost surely, 21996184736 is an apocalyptic number.
1996184736 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 1996184736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827259072).
1996184736 is an abundant number, since it is smaller than the sum of its proper divisors (5658333408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1996184736 is a wasteful number, since it uses less digits than its factorization.
1996184736 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 96 (or 56 counting only the distinct ones).
The product of its digits is 1959552, while the sum is 54.
The square root of 1996184736 is about 44678.6832393257. The cubic root of 1996184736 is about 1259.1193846804.
The spelling of 1996184736 in words is "one billion, nine hundred ninety-six million, one hundred eighty-four thousand, seven hundred thirty-six".
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