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4922824704 = 21137293947
BaseRepresentation
bin1001001010110110…
…00101100000000000
3110201002011101221220
410211123011200000
540040220342304
62132253115040
7232664214420
oct44533054000
913632141856
104922824704
1120a6896076
12b54788a80
13605b7a135
14349b32480
151dc2aead9
hex1256c5800

4922824704 has 192 divisors, whose sum is σ = 15520377600. Its totient is φ = 1357676544.

The previous prime is 4922824667. The next prime is 4922824789. The reversal of 4922824704 is 4074282294.

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 (42).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1245259 + ... + 1249205.

It is an arithmetic number, because the mean of its divisors is an integer number (80835300).

Almost surely, 24922824704 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 4922824704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760188800).

4922824704 is an abundant number, since it is smaller than the sum of its proper divisors (10597552896).

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

4922824704 is a wasteful number, since it uses less digits than its factorization.

4922824704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4008 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 4922824704 is about 70162.8441840836. The cubic root of 4922824704 is about 1701.1324293342.

The spelling of 4922824704 in words is "four billion, nine hundred twenty-two million, eight hundred twenty-four thousand, seven hundred four".