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4021084864 = 26616715373
BaseRepresentation
bin1110111110101100…
…1110001011000000
3101101020101021110001
43233223032023000
531213344203424
61503001445344
7201434441326
oct35753161300
911336337401
104021084864
111783885635
129427a0854
134c10c4874
142a2081d16
1518803c844
hexeface2c0

4021084864 has 56 divisors (see below), whose sum is σ = 8231731568. Its totient is φ = 1947939840.

The previous prime is 4021084841. The next prime is 4021084867. The reversal of 4021084864 is 4684801204.

It is not an unprimeable number, because it can be changed into a prime (4021084867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253882 + ... + 269254.

Almost surely, 24021084864 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 4021084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115865784).

4021084864 is an abundant number, since it is smaller than the sum of its proper divisors (4210646704).

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

4021084864 is a wasteful number, since it uses less digits than its factorization.

4021084864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15513 (or 15503 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 4021084864 is about 63412.0246010171. The cubic root of 4021084864 is about 1590.1853434244.

The spelling of 4021084864 in words is "four billion, twenty-one million, eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 67 122 134 244 268 488 536 976 1072 1952 2144 3904 4087 4288 8174 15373 16348 30746 32696 61492 65392 122984 130784 245968 261568 491936 937753 983872 1029991 1875506 2059982 3751012 4119964 7502024 8239928 15004048 16479856 30008096 32959712 60016192 62829451 65919424 125658902 251317804 502635608 1005271216 2010542432 4021084864