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48976865280 = 211325731279
BaseRepresentation
bin101101100111001111…
…111010100000000000
311200102021121112122100
4231213033322200000
51300301034142110
634255532110400
73352456325460
oct554717724000
9150367545570
1048976865280
1119853188872
1295aa305400
134806ac2675
1425288bdba0
151419b43bc0
hexb673fa800

48976865280 has 864 divisors, whose sum is σ = 202991443200. Its totient is φ = 10696458240.

The previous prime is 48976865177. The next prime is 48976865293. The reversal of 48976865280 is 8256867984.

48976865280 is a `hidden beast` number, since 48 + 9 + 7 + 68 + 6 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 619960281 + ... + 619960359.

It is an arithmetic number, because the mean of its divisors is an integer number (234943800).

Almost surely, 248976865280 is an apocalyptic number.

48976865280 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 48976865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101495721600).

48976865280 is an abundant number, since it is smaller than the sum of its proper divisors (154014577920).

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

48976865280 is a wasteful number, since it uses less digits than its factorization.

48976865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 48976865280 in words is "forty-eight billion, nine hundred seventy-six million, eight hundred sixty-five thousand, two hundred eighty".