Search a number
-
+
5107853520 = 2434571129353
BaseRepresentation
bin1001100000111001…
…11010100011010000
3111011222022211210000
410300130322203100
540430102303040
62202503010000
7240402016140
oct46034724320
914158284700
105107853520
112191282a50
12ba6739900
136352c1c43
14366538920
151ed65d130
hex13073a8d0

5107853520 has 800 divisors, whose sum is σ = 22945317120. Its totient is φ = 1021870080.

The previous prime is 5107853497. The next prime is 5107853537. The reversal of 5107853520 is 253587015.

5107853520 is a `hidden beast` number, since 5 + 10 + 78 + 53 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14469664 + ... + 14470016.

Almost surely, 25107853520 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 5107853520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11472658560).

5107853520 is an abundant number, since it is smaller than the sum of its proper divisors (17837463600).

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

5107853520 is a wasteful number, since it uses less digits than its factorization.

5107853520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5107853520 is about 71469.2487717620. The cubic root of 5107853520 is about 1722.1837145712.

The spelling of 5107853520 in words is "five billion, one hundred seven million, eight hundred fifty-three thousand, five hundred twenty".