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48844088080 = 2456722074129
BaseRepresentation
bin101101011111010101…
…011010001100010000
311200002000202202120021
4231133111122030100
51300013041304310
634234430153224
73346254620104
oct553725321420
9150060682507
1048844088080
111979523a347
129571952814
1347b5443a88
142514dd9904
15140d1675da
hexb5f55a310

48844088080 has 80 divisors (see below), whose sum is σ = 115337617920. Its totient is φ = 19232649216.

The previous prime is 48844088047. The next prime is 48844088089. The reversal of 48844088080 is 8088044884.

It is a happy number.

48844088080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (48844088089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11827456 + ... + 11831584.

It is an arithmetic number, because the mean of its divisors is an integer number (1441720224).

Almost surely, 248844088080 is an apocalyptic number.

48844088080 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 48844088080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57668808960).

48844088080 is an abundant number, since it is smaller than the sum of its proper divisors (66493529840).

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

48844088080 is a wasteful number, since it uses less digits than its factorization.

48844088080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6416 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 48844088080 in words is "forty-eight billion, eight hundred forty-four million, eighty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2207 2680 4129 4414 5360 8258 8828 11035 16516 17656 20645 22070 33032 35312 41290 44140 66064 82580 88280 147869 165160 176560 276643 295738 330320 553286 591476 739345 1106572 1182952 1383215 1478690 2213144 2365904 2766430 2957380 4426288 5532860 5914760 9112703 11065720 11829520 18225406 22131440 36450812 45563515 72901624 91127030 145803248 182254060 364508120 610551101 729016240 1221102202 2442204404 3052755505 4884408808 6105511010 9768817616 12211022020 24422044040 48844088080