Search a number
-
+
5141747520 = 2632571323853
BaseRepresentation
bin1001100100111100…
…01101011101000000
3111021100002211121100
410302132031131000
541012241410040
62210113254400
7241263063360
oct46236153500
914240084540
105141747520
1121a9423018
12bb5b64400
1363c32b470
1436ac3c9a0
15201605b30
hex13278d740

5141747520 has 672 divisors, whose sum is σ = 22739738112. Its totient is φ = 1036468224.

The previous prime is 5141747503. The next prime is 5141747561. The reversal of 5141747520 is 257471415.

5141747520 is a `hidden beast` number, since 51 + 41 + 7 + 47 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 6027414 + ... + 6028266.

It is an arithmetic number, because the mean of its divisors is an integer number (33838896).

Almost surely, 25141747520 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 5141747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11369869056).

5141747520 is an abundant number, since it is smaller than the sum of its proper divisors (17597990592).

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

5141747520 is a wasteful number, since it uses less digits than its factorization.

5141747520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5141747520 is about 71705.9796669706. The cubic root of 5141747520 is about 1725.9845973239.

The spelling of 5141747520 in words is "five billion, one hundred forty-one million, seven hundred forty-seven thousand, five hundred twenty".