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48838745340 = 223357119712109
BaseRepresentation
bin101101011111000001…
…000001110011111100
311200001122201022201000
4231133001001303330
51300010204322330
634234115450300
73346161325440
oct553701016374
9150048638630
1048838745340
1119792220260
12956bbb6990
1347b42c2ca8
142514408820
15140c95e560
hexb5f041cfc

48838745340 has 384 divisors, whose sum is σ = 191403878400. Its totient is φ = 10042859520.

The previous prime is 48838745323. The next prime is 48838745381. The reversal of 48838745340 is 4354783884.

48838745340 is a `hidden beast` number, since 4 + 8 + 8 + 38 + 74 + 534 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 4027206 + ... + 4039314.

It is an arithmetic number, because the mean of its divisors is an integer number (498447600).

Almost surely, 248838745340 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 48838745340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95701939200).

48838745340 is an abundant number, since it is smaller than the sum of its proper divisors (142565133060).

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

48838745340 is a wasteful number, since it uses less digits than its factorization.

48838745340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12242 (or 12234 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 48838745340 in words is "forty-eight billion, eight hundred thirty-eight million, seven hundred forty-five thousand, three hundred forty".