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48249017280 = 263452380933
BaseRepresentation
bin101100111011110111…
…011001001111000000
311121112120001000220000
4230323313121033000
51242303222023110
634055411520000
73325440610602
oct547367311700
9147476030800
1048249017280
111950a3488a2
1294265b9000
13471c082989
142499d77172
1513c5cc01c0
hexb3bdd93c0

48249017280 has 280 divisors, whose sum is σ = 179094640032. Its totient is φ = 12306843648.

The previous prime is 48249017273. The next prime is 48249017281. The reversal of 48249017280 is 8271094284.

48249017280 is a `hidden beast` number, since 4 + 82 + 490 + 1 + 7 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48249017281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 555694 + ... + 636626.

Almost surely, 248249017280 is an apocalyptic number.

48249017280 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 48249017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89547320016).

48249017280 is an abundant number, since it is smaller than the sum of its proper divisors (130845622752).

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

48249017280 is a wasteful number, since it uses less digits than its factorization.

48249017280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80985 (or 80966 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 48249017280 in words is "forty-eight billion, two hundred forty-nine million, seventeen thousand, two hundred eighty".