Base | Representation |
---|---|
bin | 10110010011001110… |
… | …11011011011101000 |
3 | 1010220101100120002000 |
4 | 23021213123123220 |
5 | 144004424202414 |
6 | 5300004011000 |
7 | 602455331346 |
oct | 131147333350 |
9 | 33811316060 |
10 | 11972490984 |
11 | 5094182753 |
12 | 23a1690a60 |
13 | 118a5525bc |
14 | 8180da996 |
15 | 4a1139b09 |
hex | 2c99db6e8 |
11972490984 has 128 divisors (see below), whose sum is σ = 34377264000. Its totient is φ = 3858624000.
The previous prime is 11972490983. The next prime is 11972491039. The reversal of 11972490984 is 48909427911.
11972490984 is a `hidden beast` number, since 1 + 1 + 9 + 72 + 490 + 9 + 84 = 666.
It is a super-2 number, since 2×119724909842 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 11972490984.
It is not an unprimeable number, because it can be changed into a prime (11972490983) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769684 + ... + 785084.
It is an arithmetic number, because the mean of its divisors is an integer number (268572375).
Almost surely, 211972490984 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 11972490984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17188632000).
11972490984 is an abundant number, since it is smaller than the sum of its proper divisors (22404773016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11972490984 is a wasteful number, since it uses less digits than its factorization.
11972490984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15536 (or 15526 counting only the distinct ones).
The product of its (nonzero) digits is 1306368, while the sum is 54.
The spelling of 11972490984 in words is "eleven billion, nine hundred seventy-two million, four hundred ninety thousand, nine hundred eighty-four".
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