Base | Representation |
---|---|
bin | 10001100000111100000100… |
… | …011000101000100000100000 |
3 | 101002202000200212222220112021 |
4 | 101200330010120220200200 |
5 | 40044031034334120000 |
6 | 431455123052511224 |
7 | 22140153640563343 |
oct | 2140740430504040 |
9 | 332660625886467 |
10 | 77030312020000 |
11 | 225a940aa60769 |
12 | 8780ba777b514 |
13 | 33c9c09243331 |
14 | 150440372845a |
15 | 8d8b0640411a |
hex | 460f04628820 |
77030312020000 has 120 divisors (see below), whose sum is σ = 189519367711212. Its totient is φ = 30809971200000.
The previous prime is 77030312019989. The next prime is 77030312020001. The reversal of 77030312020000 is 2021303077.
It can be written as a sum of positive squares in 10 ways, for example, as 1221458198416 + 75808853821584 = 1105196^2 + 8706828^2 .
It is a super-3 number, since 3×770303120200003 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (77030312020001) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 303092980 + ... + 303347020.
Almost surely, 277030312020000 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 77030312020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94759683855606).
77030312020000 is an abundant number, since it is smaller than the sum of its proper divisors (112489055691212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
77030312020000 is a wasteful number, since it uses less digits than its factorization.
77030312020000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 269232 (or 269209 counting only the distinct ones).
The product of its (nonzero) digits is 1764, while the sum is 25.
Adding to 77030312020000 its reverse (2021303077), we get a palindrome (77032333323077).
The spelling of 77030312020000 in words is "seventy-seven trillion, thirty billion, three hundred twelve million, twenty thousand".
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