Base | Representation |
---|---|
bin | 10000111001000110010010… |
… | …001100001100100000000000 |
3 | 100202001021221012102002112200 |
4 | 100321012102030030200000 |
5 | 34214202021002130001 |
6 | 422001300530153200 |
7 | 21435312312362316 |
oct | 2071062214144000 |
9 | 322037835362480 |
10 | 74292501989376 |
11 | 217433006316a0 |
12 | 83ba474722800 |
13 | 325b9a30bb658 |
14 | 144bac21920b6 |
15 | 88c7b9c72086 |
hex | 43919230c800 |
74292501989376 has 576 divisors, whose sum is σ = 238693467841920. Its totient is φ = 22072393728000.
The previous prime is 74292501989333. The next prime is 74292501989411. The reversal of 74292501989376 is 67398910529247.
74292501989376 is a `hidden beast` number, since 7 + 4 + 2 + 9 + 2 + 501 + 9 + 89 + 37 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a Harshad number since it is a multiple of its sum of digits (72).
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, 2605551696 + ... + 2605580208.
It is an arithmetic number, because the mean of its divisors is an integer number (414398381670).
It is a 1-persistent number, because it is pandigital, but 2⋅74292501989376 = 148585003978752 is not.
Almost surely, 274292501989376 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 74292501989376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119346733920960).
74292501989376 is an abundant number, since it is smaller than the sum of its proper divisors (164400965852544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
74292501989376 is a wasteful number, since it uses less digits than its factorization.
74292501989376 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 28804 (or 28781 counting only the distinct ones).
The product of its (nonzero) digits is 411505920, while the sum is 72.
The spelling of 74292501989376 in words is "seventy-four trillion, two hundred ninety-two billion, five hundred one million, nine hundred eighty-nine thousand, three hundred seventy-six".
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