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48938857344 = 2734131911901
BaseRepresentation
bin101101100100111110…
…111011001110000000
311200022122002112120000
4231210332323032000
51300211321413334
634252053320000
73351515265246
oct554476731600
9150278075500
1048938857344
1119833788953
129599636000
1347cbc75770
142523828796
151416637299
hexb64fbb380

48938857344 has 320 divisors, whose sum is σ = 157748532480. Its totient is φ = 14971392000.

The previous prime is 48938857313. The next prime is 48938857367. The reversal of 48938857344 is 44375883984.

48938857344 is a `hidden beast` number, since 489 + 3 + 8 + 85 + 73 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25742794 + ... + 25744694.

It is an arithmetic number, because the mean of its divisors is an integer number (492964164).

Almost surely, 248938857344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48938857344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78874266240).

48938857344 is an abundant number, since it is smaller than the sum of its proper divisors (108809675136).

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

48938857344 is a wasteful number, since it uses less digits than its factorization.

48938857344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2110 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 48938857344 in words is "forty-eight billion, nine hundred thirty-eight million, eight hundred fifty-seven thousand, three hundred forty-four".