| Base | Representation |
|---|---|
| bin | 1110110010001110… |
| … | …01000010000000000 |
| 3 | 202111011210101000000 |
| 4 | 13121013020100000 |
| 5 | 112223444220333 |
| 6 | 3351344000000 |
| 7 | 400461366000 |
| oct | 73107102000 |
| 9 | 22434711000 |
| 10 | 7937491968 |
| 11 | 340356421a |
| 12 | 1656300000 |
| 13 | 9965c8713 |
| 14 | 554276000 |
| 15 | 316c9e713 |
| hex | 1d91c8400 |
7937491968 has 616 divisors, whose sum is σ = 28638348800. Its totient is φ = 2194698240.
The previous prime is 7937491963. The next prime is 7937491979. The reversal of 7937491968 is 8691947397.
7937491968 is a `hidden beast` number, since 79 + 374 + 9 + 196 + 8 = 666.
It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (7937491963) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 256048113 + ... + 256048143.
Almost surely, 27937491968 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 7937491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319174400).
7937491968 is an abundant number, since it is smaller than the sum of its proper divisors (20700856832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7937491968 is an frugal number, since it uses more digits than its factorization.
7937491968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 90 (or 43 counting only the distinct ones).
The product of its digits is 20575296, while the sum is 63.
The square root of 7937491968 is about 89092.6033293449. The cubic root of 7937491968 is about 1994.7773712789. Note that the first 3 decimals are identical.
Adding to 7937491968 its product of digits (20575296), we get a square (7958067264 = 892082).
The spelling of 7937491968 in words is "seven billion, nine hundred thirty-seven million, four hundred ninety-one thousand, nine hundred sixty-eight".
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