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48949134336 = 2103223297963
BaseRepresentation
bin101101100101100110…
…001000010000000000
311200100100102122221100
4231211212020100000
51300221434244321
634253101454400
73352001530314
oct554546102000
9150310378840
1048949134336
1119839568133
1295a0b71400
13480113341b
142524d41b44
1514174b7326
hexb65988400

48949134336 has 264 divisors, whose sum is σ = 152589602880. Its totient is φ = 15066906624.

The previous prime is 48949134259. The next prime is 48949134373. The reversal of 48949134336 is 63343194984.

It is a happy number.

48949134336 is a `hidden beast` number, since 4 + 89 + 491 + 3 + 43 + 36 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6143091 + ... + 6151053.

It is an arithmetic number, because the mean of its divisors is an integer number (577990920).

Almost surely, 248949134336 is an apocalyptic number.

48949134336 is a gapful number since it is divisible by the number (46) 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 48949134336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76294801440).

48949134336 is an abundant number, since it is smaller than the sum of its proper divisors (103640468544).

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

48949134336 is a wasteful number, since it uses less digits than its factorization.

48949134336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8041 (or 8020 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 48949134336 in words is "forty-eight billion, nine hundred forty-nine million, one hundred thirty-four thousand, three hundred thirty-six".