Search a number
-
+
48495798000 = 243253131773167
BaseRepresentation
bin101101001010100100…
…110010011011110000
311122011202101210101200
4231022210302123300
51243304411014000
634140105131200
73334525324116
oct551244623360
9148152353350
1048495798000
1119626682901
129495189b00
13475b238c80
1424c0a55ab6
1513dc7ba500
hexb4a9326f0

48495798000 has 960 divisors, whose sum is σ = 196956893952. Its totient is φ = 11014963200.

The previous prime is 48495797969. The next prime is 48495798031. The reversal of 48495798000 is 89759484.

48495798000 is a `hidden beast` number, since 4 + 8 + 495 + 79 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48495797969) and next prime (48495798031).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 290393917 + ... + 290394083.

Almost surely, 248495798000 is an apocalyptic number.

48495798000 is a gapful number since it is divisible by the number (40) 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 48495798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98478446976).

48495798000 is an abundant number, since it is smaller than the sum of its proper divisors (148461095952).

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

48495798000 is a wasteful number, since it uses less digits than its factorization.

48495798000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 48495798000 in words is "forty-eight billion, four hundred ninety-five million, seven hundred ninety-eight thousand".