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5170314240 = 210345713137
BaseRepresentation
bin1001101000010110…
…01011110000000000
3111100022212011210000
410310023023300000
541042100023430
62213013440000
7242060642310
oct46413136000
914308764700
105170314240
112213564683
121003640000
13645220c50
14370957440
15203d99e60
hex1342cbc00

5170314240 has 880 divisors, whose sum is σ = 22969501632. Its totient is φ = 1082916864.

The previous prime is 5170314221. The next prime is 5170314263. The reversal of 5170314240 is 424130715.

5170314240 is a `hidden beast` number, since 517 + 0 + 3 + 142 + 4 + 0 = 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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739452 + ... + 37739588.

Almost surely, 25170314240 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 5170314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11484750816).

5170314240 is an abundant number, since it is smaller than the sum of its proper divisors (17799187392).

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

5170314240 is a wasteful number, since it uses less digits than its factorization.

5170314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5170314240 is about 71904.8971906643. The cubic root of 5170314240 is about 1729.1751265998.

Adding to 5170314240 its reverse (424130715), we get a palindrome (5594444955).

The spelling of 5170314240 in words is "five billion, one hundred seventy million, three hundred fourteen thousand, two hundred forty".