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49844333088 = 25321119978537
BaseRepresentation
bin101110011010111101…
…000010101000100000
311202122201220110202200
4232122331002220200
51304040122124323
634522001013200
73413121561234
oct563275025040
9152581813680
1049844333088
111a158910210
1297b0924200
134914738624
1425abbac5c4
15146ad96443
hexb9af42a20

49844333088 has 288 divisors, whose sum is σ = 164466469440. Its totient is φ = 14160199680.

The previous prime is 49844333087. The next prime is 49844333093. The reversal of 49844333088 is 88033344894.

49844333088 is a `hidden beast` number, since 4 + 98 + 443 + 3 + 30 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (49844333083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5834356 + ... + 5842892.

It is an arithmetic number, because the mean of its divisors is an integer number (571064130).

Almost surely, 249844333088 is an apocalyptic number.

49844333088 is a gapful number since it is divisible by the number (48) 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 49844333088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82233234720).

49844333088 is an abundant number, since it is smaller than the sum of its proper divisors (114622136352).

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

49844333088 is a wasteful number, since it uses less digits than its factorization.

49844333088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680 (or 8669 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 49844333088 in words is "forty-nine billion, eight hundred forty-four million, three hundred thirty-three thousand, eighty-eight".