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4972798080 = 273256114153
BaseRepresentation
bin1001010000110011…
…01110000010000000
3110211120012022112200
410220121232002000
540141014014310
62141240153200
7234142041405
oct45031560200
913746168480
104972798080
112122018888
12b69468800
13613326393
143526202ac
151e18819c0
hex12866e080

4972798080 has 192 divisors, whose sum is σ = 17454429720. Its totient is φ = 1304248320.

The previous prime is 4972798057. The next prime is 4972798093. The reversal of 4972798080 is 808972794.

4972798080 is a `hidden beast` number, since 497 + 2 + 79 + 8 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2287900224 + 2684897856 = 47832^2 + 51816^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344284 + ... + 358436.

Almost surely, 24972798080 is an apocalyptic number.

4972798080 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 4972798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8727214860).

4972798080 is an abundant number, since it is smaller than the sum of its proper divisors (12481631640).

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

4972798080 is a wasteful number, since it uses less digits than its factorization.

4972798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14239 (or 14224 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 4972798080 is about 70518.0691737940. The cubic root of 4972798080 is about 1706.8693308592.

The spelling of 4972798080 in words is "four billion, nine hundred seventy-two million, seven hundred ninety-eight thousand, eighty".