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48969910080 = 26325721326693
BaseRepresentation
bin101101100110110101…
…011000011101000000
311200101210112011220100
4231212311120131000
51300242244110310
634255123042400
73352343240100
oct554665303500
9150353464810
1048969910080
111984a268273
1295a7b10400
134805528970
1425279cd200
15141921cec0
hexb66d58740

48969910080 has 504 divisors, whose sum is σ = 211015749672. Its totient is φ = 10331725824.

The previous prime is 48969910057. The next prime is 48969910103. The reversal of 48969910080 is 8001996984.

It is an interprime number because it is at equal distance from previous prime (48969910057) and next prime (48969910103).

It can be written as a sum of positive squares in 4 ways, for example, as 2872102464 + 46097807616 = 53592^2 + 214704^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 48969909999 and 48969910026.

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 71 ways as a sum of consecutive naturals, for example, 1821214 + ... + 1847906.

It is an arithmetic number, because the mean of its divisors is an integer number (418682043).

Almost surely, 248969910080 is an apocalyptic number.

48969910080 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 48969910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105507874836).

48969910080 is an abundant number, since it is smaller than the sum of its proper divisors (162045839592).

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

48969910080 is a wasteful number, since it uses less digits than its factorization.

48969910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26743 (or 26723 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 48969910080 in words is "forty-eight billion, nine hundred sixty-nine million, nine hundred ten thousand, eighty".