Search a number
-
+
5095923840 = 27355731151
BaseRepresentation
bin1001011111011110…
…11010000010000000
3111011010212202100000
410233233122002000
540414024030330
62201355200000
7240165431550
oct45757320200
914133782300
105095923840
112185575007
12ba2746000
136329a5c67
14364b11160
151ec5a3560
hex12fbda080

5095923840 has 768 divisors, whose sum is σ = 21670871040. Its totient is φ = 1119744000.

The previous prime is 5095923839. The next prime is 5095923857. The reversal of 5095923840 is 483295905.

5095923840 is a `hidden beast` number, since 50 + 9 + 592 + 3 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 33747765 + ... + 33747915.

It is an arithmetic number, because the mean of its divisors is an integer number (28217280).

Almost surely, 25095923840 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 5095923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10835435520).

5095923840 is an abundant number, since it is smaller than the sum of its proper divisors (16574947200).

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

5095923840 is a wasteful number, since it uses less digits than its factorization.

5095923840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5095923840 is about 71385.7397524183. The cubic root of 5095923840 is about 1720.8419170126.

The spelling of 5095923840 in words is "five billion, ninety-five million, nine hundred twenty-three thousand, eight hundred forty".