Search a number
-
+
5160501000 = 2332533715497
BaseRepresentation
bin1001100111001011…
…01111111100001000
3111022122101121112200
410303211233330020
541032042013000
62212023240200
7241611351264
oct46345577410
914278347480
105160501000
112208a71866
1210002a9060
136431963b5
1436d5210a4
152030ac500
hex13396ff08

5160501000 has 192 divisors, whose sum is σ = 17915068080. Its totient is φ = 1338854400.

The previous prime is 5160500929. The next prime is 5160501029. The reversal of 5160501000 is 1050615.

5160501000 is a `hidden beast` number, since 5 + 160 + 501 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2200923396 + 2959577604 = 46914^2 + 54402^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 325252 + ... + 340748.

Almost surely, 25160501000 is an apocalyptic number.

5160501000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5160501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957534040).

5160501000 is an abundant number, since it is smaller than the sum of its proper divisors (12754567080).

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

5160501000 is a wasteful number, since it uses less digits than its factorization.

5160501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15561 (or 15544 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 5160501000 is about 71836.6271479946. The cubic root of 5160501000 is about 1728.0804441074.

Adding to 5160501000 its reverse (1050615), we get a palindrome (5161551615).

The spelling of 5160501000 in words is "five billion, one hundred sixty million, five hundred one thousand".