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48720304512 = 2732117154151
BaseRepresentation
bin101101010111111101…
…001101100110000000
311122202101211220102200
4231113331031212000
51244234344221022
634214245113200
73343222520055
oct552775154600
9148671756380
1048720304512
1119731383980
1295383b8800
1347958c3969
1425027b702c
151402365bac
hexb57f4d980

48720304512 has 192 divisors, whose sum is σ = 155099992320. Its totient is φ = 14555520000.

The previous prime is 48720304511. The next prime is 48720304513. The reversal of 48720304512 is 21540302784.

It is a happy number.

48720304512 is a `hidden beast` number, since 48 + 72 + 0 + 30 + 4 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (48720304511) and next prime (48720304513).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48720304511) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 872637 + ... + 926787.

It is an arithmetic number, because the mean of its divisors is an integer number (807812460).

Almost surely, 248720304512 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 48720304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77549996160).

48720304512 is an abundant number, since it is smaller than the sum of its proper divisors (106379687808).

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

48720304512 is a wasteful number, since it uses less digits than its factorization.

48720304512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54253 (or 54238 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 48720304512 in words is "forty-eight billion, seven hundred twenty million, three hundred four thousand, five hundred twelve".