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4972318848 = 2732717192383
BaseRepresentation
bin1001010000101111…
…11001000010000000
3110211112021222011100
410220113321002000
540140403200343
62141222014400
7234135004260
oct45027710200
913745258140
104972318848
112121820822
12b69277400
136131b9203
143525377a0
151e17d99d3
hex1285f9080

4972318848 has 768 divisors, whose sum is σ = 19247155200. Its totient is φ = 1197047808.

The previous prime is 4972318847. The next prime is 4972318937. The reversal of 4972318848 is 8488132794.

It is a happy number.

4972318848 is a `hidden beast` number, since 497 + 2 + 31 + 88 + 48 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4972318794 and 4972318803.

It is not an unprimeable number, because it can be changed into a prime (4972318847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59907415 + ... + 59907497.

It is an arithmetic number, because the mean of its divisors is an integer number (25061400).

Almost surely, 24972318848 is an apocalyptic number.

4972318848 is a gapful number since it is divisible by the number (48) 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 4972318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623577600).

4972318848 is an abundant number, since it is smaller than the sum of its proper divisors (14274836352).

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

4972318848 is a wasteful number, since it uses less digits than its factorization.

4972318848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 4972318848 is about 70514.6711543066. The cubic root of 4972318848 is about 1706.8144983706.

The spelling of 4972318848 in words is "four billion, nine hundred seventy-two million, three hundred eighteen thousand, eight hundred forty-eight".