Search a number
-
+
49131847296 = 2737725073
BaseRepresentation
bin101101110000011111…
…000111111010000000
311200211002020110000000
4231300133013322000
51301110223103141
634323150000000
73356350545210
oct556037077200
9150732213000
1049131847296
1119922713084
1296321a6000
13482cc470bc
142541304240
1514285595b6
hexb707c7e80

49131847296 has 256 divisors, whose sum is σ = 167775148800. Its totient is φ = 14037110784.

The previous prime is 49131847283. The next prime is 49131847309. The reversal of 49131847296 is 69274813194.

49131847296 is a `hidden beast` number, since 491 + 3 + 1 + 84 + 72 + 9 + 6 = 666.

49131847296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49131847283) and next prime (49131847309).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1947016 + ... + 1972088.

It is an arithmetic number, because the mean of its divisors is an integer number (655371675).

Almost surely, 249131847296 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 49131847296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83887574400).

49131847296 is an abundant number, since it is smaller than the sum of its proper divisors (118643301504).

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

49131847296 is an frugal number, since it uses more digits than its factorization.

49131847296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25115 (or 25085 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 49131847296 in words is "forty-nine billion, one hundred thirty-one million, eight hundred forty-seven thousand, two hundred ninety-six".