Search a number
-
+
48737479680 = 21035543911
BaseRepresentation
bin101101011000111110…
…101110110000000000
311122210121011111100000
4231120332232300000
51244303243322210
634220101200000
73343521512331
oct553076566000
9148717144300
1048737479680
111974004492a
129542100000
134799328396
142504ba8288
151403b09ac0
hexb58faec00

48737479680 has 528 divisors, whose sum is σ = 179398162944. Its totient is φ = 12680478720.

The previous prime is 48737479627. The next prime is 48737479759. The reversal of 48737479680 is 8697473784.

48737479680 is a `hidden beast` number, since 4 + 87 + 3 + 7 + 479 + 6 + 80 = 666.

It is a nialpdrome in base 12.

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 47 ways as a sum of consecutive naturals, for example, 53498425 + ... + 53499335.

It is an arithmetic number, because the mean of its divisors is an integer number (339769248).

Almost surely, 248737479680 is an apocalyptic number.

48737479680 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 48737479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89699081472).

48737479680 is an abundant number, since it is smaller than the sum of its proper divisors (130660683264).

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

48737479680 is an equidigital number, since it uses as much as digits as its factorization.

48737479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 48737479680 in words is "forty-eight billion, seven hundred thirty-seven million, four hundred seventy-nine thousand, six hundred eighty".