| Base | Representation |
|---|---|
| bin | 100101011000001010100001… |
| … | …010011010010110000000000 |
| 3 | 210120001100220012010212010000 |
| 4 | 211120022201103102300000 |
| 5 | 133021314201311221131 |
| 6 | 1341342534011040000 |
| 7 | 46424442635654520 |
| oct | 4530124123226000 |
| 9 | 716040805125100 |
| 10 | 164388284476416 |
| 11 | 48419752aa1a50 |
| 12 | 1652b673a40000 |
| 13 | 7095996bba700 |
| 14 | 2c84614b21680 |
| 15 | 14011b3449ce6 |
| hex | 9582a14d2c00 |
164388284476416 has 5280 divisors, whose sum is σ = 726852045680640. Its totient is φ = 35898694041600.
The previous prime is 164388284476411. The next prime is 164388284476469. The reversal of 164388284476416 is 614674482883461.
164388284476416 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 88 + 28 + 44 + 76 + 416 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (1189085184) is a multiple of the sum of its prime divisors (84).
It is not an unprimeable number, because it can be changed into a prime (164388284476411) by changing a digit.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5302847886321 + ... + 5302847886351.
It is an arithmetic number, because the mean of its divisors is an integer number (137661372288).
Almost surely, 2164388284476416 is an apocalyptic number.
164388284476416 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 164388284476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363426022840320).
164388284476416 is an abundant number, since it is smaller than the sum of its proper divisors (562463761204224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164388284476416 is a wasteful number, since it uses less digits than its factorization.
164388284476416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 158 (or 84 counting only the distinct ones).
The product of its digits is 1189085184, while the sum is 72.
The spelling of 164388284476416 in words is "one hundred sixty-four trillion, three hundred eighty-eight billion, two hundred eighty-four million, four hundred seventy-six thousand, four hundred sixteen".
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