Base | Representation |
---|---|
bin | 100010110000000101… |
… | …1001111001010010000 |
3 | 21010121221202022201200 |
4 | 1011200023033022100 |
5 | 2210314232034243 |
6 | 54141133031200 |
7 | 5251231361106 |
oct | 1054013171220 |
9 | 233557668650 |
10 | 74628002448 |
11 | 2971661a88a |
12 | 12568925500 |
13 | 70641ba63c |
14 | 387d521c76 |
15 | 1e1ba85ad3 |
hex | 11602cf290 |
74628002448 has 120 divisors (see below), whose sum is σ = 211364730720. Its totient is φ = 24578711040.
The previous prime is 74628002441. The next prime is 74628002453. The reversal of 74628002448 is 84420082647.
74628002448 is a `hidden beast` number, since 74 + 62 + 80 + 0 + 2 + 448 = 666.
It is not an unprimeable number, because it can be changed into a prime (74628002441) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4386823 + ... + 4403801.
It is an arithmetic number, because the mean of its divisors is an integer number (1761372756).
Almost surely, 274628002448 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 74628002448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105682365360).
74628002448 is an abundant number, since it is smaller than the sum of its proper divisors (136736728272).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
74628002448 is a wasteful number, since it uses less digits than its factorization.
74628002448 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17357 (or 17348 counting only the distinct ones).
The product of its (nonzero) digits is 688128, while the sum is 45.
The spelling of 74628002448 in words is "seventy-four billion, six hundred twenty-eight million, two thousand, four hundred forty-eight".
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