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5700117312 = 263331971097
BaseRepresentation
bin1010100111100000…
…01110001101000000
3112201020202221222000
411103300032031000
543133212223222
62341341144000
7261153124551
oct52360161500
915636687860
105700117312
11246562755a
121130b5b000
136cac0c4a6
143c106a328
1523564d9ac
hex153c0e340

5700117312 has 224 divisors, whose sum is σ = 17492106240. Its totient is φ = 1818132480.

The previous prime is 5700117307. The next prime is 5700117377. The reversal of 5700117312 is 2137110075.

It is a happy number.

5700117312 is a `hidden beast` number, since 570 + 0 + 11 + 73 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5195548 + ... + 5196644.

It is an arithmetic number, because the mean of its divisors is an integer number (78089760).

Almost surely, 25700117312 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 5700117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8746053120).

5700117312 is an abundant number, since it is smaller than the sum of its proper divisors (11791988928).

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

5700117312 is a wasteful number, since it uses less digits than its factorization.

5700117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 5700117312 is about 75499.1212664095. The cubic root of 5700117312 is about 1786.3282423784.

Adding to 5700117312 its reverse (2137110075), we get a palindrome (7837227387).

The spelling of 5700117312 in words is "five billion, seven hundred million, one hundred seventeen thousand, three hundred twelve".