Base | Representation |
---|---|
bin | 11111111011101011101110… |
… | …01111111110110110000000 |
3 | 100012122000011212121202202200 |
4 | 33331311313033332312000 |
5 | 33200442410234004301 |
6 | 405202452134313200 |
7 | 20535154331152620 |
oct | 1775656717766600 |
9 | 305560155552680 |
10 | 70220421000576 |
11 | 2041334a015300 |
12 | 7a61230ab8800 |
13 | 30249ac9b5a72 |
14 | 134a987adc880 |
15 | 81b8dab46c86 |
hex | 3fdd773fed80 |
70220421000576 has 1152 divisors, whose sum is σ = 262031305536000. Its totient is φ = 17657063424000.
The previous prime is 70220421000557. The next prime is 70220421000599. The reversal of 70220421000576 is 67500012402207.
It is a happy number.
70220421000576 is a `hidden beast` number, since 7 + 0 + 220 + 421 + 0 + 0 + 0 + 5 + 7 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 70220421000576.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (31) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5240714325 + ... + 5240727723.
It is an arithmetic number, because the mean of its divisors is an integer number (227457730500).
Almost surely, 270220421000576 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 70220421000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131015652768000).
70220421000576 is an abundant number, since it is smaller than the sum of its proper divisors (191810884535424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
70220421000576 is a wasteful number, since it uses less digits than its factorization.
70220421000576 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13620 (or 13594 counting only the distinct ones).
The product of its (nonzero) digits is 47040, while the sum is 36.
The spelling of 70220421000576 in words is "seventy trillion, two hundred twenty billion, four hundred twenty-one million, five hundred seventy-six", and thus it is an aban number.
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