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4979221632 = 273872112
BaseRepresentation
bin1001010001100100…
…01110010010000000
3110212000021200000000
410220302032102000
540144140043012
62142030000000
7234250454100
oct45062162200
913760250000
104979221632
112125705a00
12b6b646000
136147650b8
14353413200
151e21eeddc
hex128c8e480

4979221632 has 648 divisors, whose sum is σ = 19024178355. Its totient is φ = 1293304320.

The previous prime is 4979221627. The next prime is 4979221651. The reversal of 4979221632 is 2361229794.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4979221632 is a `hidden beast` number, since 4 + 9 + 7 + 9 + 2 + 2 + 1 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2489610816 + 2489610816 = 49896^2 + 49896^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=49896.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 80 ways as a sum of consecutive naturals, for example, 452656507 + ... + 452656517.

Almost surely, 24979221632 is an apocalyptic number.

4979221632 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 4979221632

4979221632 is an abundant number, since it is smaller than the sum of its proper divisors (14044956723).

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

4979221632 is an frugal number, since it uses more digits than its factorization.

4979221632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 4979221632 is about 70563.5999081680. The cubic root of 4979221632 is about 1707.6039572654.

The spelling of 4979221632 in words is "four billion, nine hundred seventy-nine million, two hundred twenty-one thousand, six hundred thirty-two".