| Base | Representation |
|---|---|
| bin | 1010111110001011110… |
| … | …00101100110000000000 |
| 3 | 1100001001112101101220200 |
| 4 | 11133011320230300000 |
| 5 | 22134024411122124 |
| 6 | 445103323205200 |
| 7 | 36143653142220 |
| oct | 5370570546000 |
| 9 | 1301045341820 |
| 10 | 376982129664 |
| 11 | 135971647768 |
| 12 | 6108a676800 |
| 13 | 2971a96321a |
| 14 | 14363182080 |
| 15 | 9c15c58bc9 |
| hex | 57c5e2cc00 |
376982129664 has 528 divisors, whose sum is σ = 1323230059008. Its totient is φ = 100910628864.
The previous prime is 376982129651. The next prime is 376982129669. The reversal of 376982129664 is 466921289673.
376982129664 is a `hidden beast` number, since 376 + 9 + 82 + 129 + 6 + 64 = 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 (376982129669) 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 47 ways as a sum of consecutive naturals, for example, 288432499 + ... + 288433805.
It is an arithmetic number, because the mean of its divisors is an integer number (2506117536).
Almost surely, 2376982129664 is an apocalyptic number.
376982129664 is a gapful number since it is divisible by the number (34) 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 376982129664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661615029504).
376982129664 is an abundant number, since it is smaller than the sum of its proper divisors (946247929344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
376982129664 is a wasteful number, since it uses less digits than its factorization.
376982129664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1620 (or 1599 counting only the distinct ones).
The product of its digits is 47029248, while the sum is 63.
The spelling of 376982129664 in words is "three hundred seventy-six billion, nine hundred eighty-two million, one hundred twenty-nine thousand, six hundred sixty-four".
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