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48916459872 = 253671767263
BaseRepresentation
bin101101100011101001…
…011111000101100000
311200021001221122000000
4231203221133011200
51300140103203442
634245533300000
73351124022430
oct554351370540
9150231848000
1048916459872
1119822080345
129592034600
1347c7433017
1425208782c0
1514146b0d4c
hexb63a5f160

48916459872 has 672 divisors, whose sum is σ = 178006574592. Its totient is φ = 12908408832.

The previous prime is 48916459853. The next prime is 48916459873. The reversal of 48916459872 is 27895461984.

48916459872 is a `hidden beast` number, since 489 + 1 + 64 + 5 + 98 + 7 + 2 = 666.

48916459872 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 (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48916459873) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 185994013 + ... + 185994275.

It is an arithmetic number, because the mean of its divisors is an integer number (264890736).

Almost surely, 248916459872 is an apocalyptic number.

48916459872 is a gapful number since it is divisible by the number (42) 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 48916459872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89003287296).

48916459872 is an abundant number, since it is smaller than the sum of its proper divisors (129090114720).

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

48916459872 is a wasteful number, since it uses less digits than its factorization.

48916459872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 48916459872 in words is "forty-eight billion, nine hundred sixteen million, four hundred fifty-nine thousand, eight hundred seventy-two".