Base | Representation |
---|---|
bin | 100010011100100011… |
… | …1100001110000110000 |
3 | 21001221021201110100000 |
4 | 1010321013201300300 |
5 | 2202444003444030 |
6 | 53552124030000 |
7 | 5226053506512 |
oct | 1047107416060 |
9 | 231837643300 |
10 | 73972718640 |
11 | 2940a742417 |
12 | 12405392300 |
13 | 6c8b506642 |
14 | 381a4a7bb2 |
15 | 1dce297860 |
hex | 11391e1c30 |
73972718640 has 240 divisors, whose sum is σ = 257920554528. Its totient is φ = 19703513088.
The previous prime is 73972718623. The next prime is 73972718683. The reversal of 73972718640 is 4681727937.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23579152 + ... + 23582288.
Almost surely, 273972718640 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 73972718640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128960277264).
73972718640 is an abundant number, since it is smaller than the sum of its proper divisors (183947835888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73972718640 is a wasteful number, since it uses less digits than its factorization.
73972718640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4378 (or 4360 counting only the distinct ones).
The product of its (nonzero) digits is 3556224, while the sum is 54.
The spelling of 73972718640 in words is "seventy-three billion, nine hundred seventy-two million, seven hundred eighteen thousand, six hundred forty".
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