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57431331380 = 22541213072
BaseRepresentation
bin110101011111001011…
…001001001000110100
312111020111011220211102
4311133023021020310
51420104410101010
642214504425232
74102126155623
oct653713111064
9174214156742
1057431331380
11223a1542335
12b169778218
135553537227
142acb6896ba
151761eb0ba5
hexd5f2c9234

57431331380 has 54 divisors (see below), whose sum is σ = 123713801862. Its totient is φ = 22395079040.

The previous prime is 57431331379. The next prime is 57431331403. The reversal of 57431331380 is 8313313475.

It is a happy number.

57431331380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3307170064 + 54124161316 = 57508^2 + 232646^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43940687 + ... + 43941993.

Almost surely, 257431331380 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 57431331380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61856900931).

57431331380 is an abundant number, since it is smaller than the sum of its proper divisors (66282470482).

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

57431331380 is an equidigital number, since it uses as much as digits as its factorization.

57431331380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 57431331380 in words is "fifty-seven billion, four hundred thirty-one million, three hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1307 1681 2614 3362 5228 6535 6724 8405 13070 16810 26140 33620 53587 107174 214348 267935 535870 1071740 1708249 2197067 3416498 4394134 6832996 8541245 8788268 10985335 17082490 21970670 34164980 43941340 70038209 140076418 280152836 350191045 700382090 1400764180 2871566569 5743133138 11486266276 14357832845 28715665690 57431331380