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218065309528 = 231129233366733
BaseRepresentation
bin1100101100010110110…
…1001000111101011000
3202211212100100111100111
43023011231020331120
512033044204401103
6244102224214104
721516601355623
oct3130555107530
9684770314314
10218065309528
1184532200680
123631976a334
1317742c38341
14a7a946cdba
155a1442d86d
hex32c5b48f58

218065309528 has 64 divisors (see below), whose sum is σ = 463405082400. Its totient is φ = 95291642880.

The previous prime is 218065309523. The next prime is 218065309537. The reversal of 218065309528 is 825903560812.

It is a happy number.

218065309528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218065309523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411250 + ... + 777982.

Almost surely, 2218065309528 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 218065309528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231702541200).

218065309528 is an abundant number, since it is smaller than the sum of its proper divisors (245339772872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

218065309528 is a wasteful number, since it uses less digits than its factorization.

218065309528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367012 (or 367008 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 218065309528 in words is "two hundred eighteen billion, sixty-five million, three hundred nine thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 233 319 466 638 932 1276 1864 2552 2563 5126 6757 10252 13514 20504 27028 54056 74327 148654 297308 366733 594616 733466 1466932 2933864 4034063 8068126 10635257 16136252 21270514 32272504 42541028 85082056 85448789 116987827 170897578 233975654 341795156 467951308 683590312 935902616 939936679 1879873358 2478014881 3759746716 4956029762 7519493432 9912059524 19824119048 27258163691 54516327382 109032654764 218065309528