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5350199040 = 28355103167
BaseRepresentation
bin1001111101110010…
…11000111100000000
3111210212100021100000
410332321120330000
541424122332130
62242521200000
7246403640634
oct47671307400
914725307300
105350199040
1122a60587aa
121053930000
13673584564
1438a7c0dc4
15214a7e260
hex13ee58f00

5350199040 has 432 divisors, whose sum is σ = 19499171328. Its totient is φ = 1404407808.

The previous prime is 5350199017. The next prime is 5350199053. The reversal of 5350199040 is 409910535.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5350198986 and 5350199004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32037037 + ... + 32037203.

Almost surely, 25350199040 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 5350199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9749585664).

5350199040 is an abundant number, since it is smaller than the sum of its proper divisors (14148972288).

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

5350199040 is a wasteful number, since it uses less digits than its factorization.

5350199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 5350199040 is about 73145.0547884134. The cubic root of 5350199040 is about 1749.0006855177. Note that the first 3 decimals are identical.

The spelling of 5350199040 in words is "five billion, three hundred fifty million, one hundred ninety-nine thousand, forty".