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48568246272 = 2133371319127
BaseRepresentation
bin101101001110111001…
…001010000000000000
311122100210201112202000
4231032321022000000
51243431432340042
634151214024000
73336365165430
oct551671120000
9148323645660
1048568246272
1119663566307
1294b54a8000
134770253c80
1424ca5142c0
1513e3d2b74c
hexb4ee4a000

48568246272 has 896 divisors, whose sum is σ = 187893350400. Its totient is φ = 12039487488.

The previous prime is 48568246247. The next prime is 48568246273. The reversal of 48568246272 is 27264286584.

48568246272 is a `hidden beast` number, since 4 + 8 + 5 + 6 + 8 + 2 + 4 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is not an unprimeable number, because it can be changed into a prime (48568246273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382427073 + ... + 382427199.

It is an arithmetic number, because the mean of its divisors is an integer number (209702400).

Almost surely, 248568246272 is an apocalyptic number.

48568246272 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 48568246272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93946675200).

48568246272 is an abundant number, since it is smaller than the sum of its proper divisors (139325104128).

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

48568246272 is a wasteful number, since it uses less digits than its factorization.

48568246272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

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

The spelling of 48568246272 in words is "forty-eight billion, five hundred sixty-eight million, two hundred forty-six thousand, two hundred seventy-two".