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4924231004160 = 212385132819
BaseRepresentation
bin100011110101000001100…
…0010100011000000000000
3122102202022010101100000000
41013222003002203000000
51121134311114113120
614250054400000000
71015523014631466
oct107520302430000
918382263340000
104924231004160
11162939a033536
12676423000000
132994786a2210
141304968d4836
1588155908990
hex47a830a3000

4924231004160 has 936 divisors, whose sum is σ = 19094335631280. Its totient is φ = 1211688419328.

The previous prime is 4924231004159. The next prime is 4924231004167. The reversal of 4924231004160 is 614001324294.

4924231004160 is a `hidden beast` number, since 4 + 9 + 2 + 4 + 231 + 0 + 0 + 416 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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

It is not an unprimeable number, because it can be changed into a prime (4924231004167) 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 71 ways as a sum of consecutive naturals, for example, 1746799231 + ... + 1746802049.

It is an arithmetic number, because the mean of its divisors is an integer number (20399931230).

Almost surely, 24924231004160 is an apocalyptic number.

4924231004160 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 4924231004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547167815640).

4924231004160 is an abundant number, since it is smaller than the sum of its proper divisors (14170104627120).

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

4924231004160 is an frugal number, since it uses more digits than its factorization.

4924231004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4924231004160 in words is "four trillion, nine hundred twenty-four billion, two hundred thirty-one million, four thousand, one hundred sixty".