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57205220280 = 233513434991709
BaseRepresentation
bin110101010001101100…
…100110001110111000
312110122201201021201020
4311101230212032320
51414124014022110
642140230222440
74063412230605
oct652154461670
9173581637636
1057205220280
112229594575a
12b105ab4a20
13551873a090
142aa962b6ac
15174c1e9d70
hexd51b263b8

57205220280 has 256 divisors, whose sum is σ = 189604800000. Its totient is φ = 13718218752.

The previous prime is 57205220263. The next prime is 57205220291. The reversal of 57205220280 is 8202250275.

57205220280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×572052202803 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33472066 + ... + 33473774.

It is an arithmetic number, because the mean of its divisors is an integer number (740643750).

Almost surely, 257205220280 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 57205220280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94802400000).

57205220280 is an abundant number, since it is smaller than the sum of its proper divisors (132399579720).

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

57205220280 is a wasteful number, since it uses less digits than its factorization.

57205220280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The spelling of 57205220280 in words is "fifty-seven billion, two hundred five million, two hundred twenty thousand, two hundred eighty".