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4454444820 = 22357431571571
BaseRepresentation
bin1000010011000000…
…10110111100010100
3102111102211020112210
410021200112330110
533110314213240
62014002113420
7215246104410
oct41140267424
912442736483
104454444820
111986466361
12a4394b870
1355cb16587
1430384bd40
151b10e0780
hex109816f14

4454444820 has 192 divisors, whose sum is σ = 14687963136. Its totient is φ = 987517440.

The previous prime is 4454444807. The next prime is 4454444821. The reversal of 4454444820 is 284444544.

It is a super-3 number, since 3×44544448203 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4454444821) 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 63 ways as a sum of consecutive naturals, for example, 2834635 + ... + 2836205.

It is an arithmetic number, because the mean of its divisors is an integer number (76499808).

Almost surely, 24454444820 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 4454444820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343981568).

4454444820 is an abundant number, since it is smaller than the sum of its proper divisors (10233518316).

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

4454444820 is a wasteful number, since it uses less digits than its factorization.

4454444820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 39.

The square root of 4454444820 is about 66741.6273400642. The cubic root of 4454444820 is about 1645.3736114896.

The spelling of 4454444820 in words is "four billion, four hundred fifty-four million, four hundred forty-four thousand, eight hundred twenty".