| Base | Representation |
|---|---|
| bin | 100010110001001110… |
| … | …0000100110110000000 |
| 3 | 21010201121012022220000 |
| 4 | 1011202130010312000 |
| 5 | 2210403442033242 |
| 6 | 54145010520000 |
| 7 | 5252202165600 |
| oct | 1054234046600 |
| 9 | 233647168800 |
| 10 | 74665971072 |
| 11 | 29735aa3210 |
| 12 | 12579596000 |
| 13 | 706c022694 |
| 14 | 38845a6c00 |
| 15 | 1e20085a4c |
| hex | 1162704d80 |
74665971072 has 960 divisors, whose sum is σ = 291753031680. Its totient is φ = 18724608000.
The previous prime is 74665971043. The next prime is 74665971077. The reversal of 74665971072 is 27017956647.
74665971072 is a `hidden beast` number, since 7 + 46 + 6 + 597 + 1 + 0 + 7 + 2 = 666.
It is a super-2 number, since 2×746659710722 (a number of 23 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (54) 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 (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (74665971077) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 173238697 + ... + 173239127.
It is an arithmetic number, because the mean of its divisors is an integer number (303909408).
Almost surely, 274665971072 is an apocalyptic number.
74665971072 is a gapful number since it is divisible by the number (72) 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 74665971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145876515840).
74665971072 is an abundant number, since it is smaller than the sum of its proper divisors (217087060608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
74665971072 is a wasteful number, since it uses less digits than its factorization.
74665971072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 513 (or 485 counting only the distinct ones).
The product of its (nonzero) digits is 4445280, while the sum is 54.
The spelling of 74665971072 in words is "seventy-four billion, six hundred sixty-five million, nine hundred seventy-one thousand, seventy-two".
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