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4419334920 = 23357111336791
BaseRepresentation
bin1000001110110100…
…11011001100001000
3102101222202110211010
410013122123030020
533022322204140
62010305403520
7214341504240
oct40732331410
912358673733
104419334920
111968665810
12a340395a0
135557727a0
142dcd0cb20
151acea7880
hex10769b308

4419334920 has 256 divisors, whose sum is σ = 17801441280. Its totient is φ = 847641600.

The previous prime is 4419334919. The next prime is 4419334949. The reversal of 4419334920 is 294339144.

It is a super-2 number, since 2×44193349202 = 39061042270262812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101725 + ... + 138515.

It is an arithmetic number, because the mean of its divisors is an integer number (69536880).

Almost surely, 24419334920 is an apocalyptic number.

4419334920 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 4419334920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900720640).

4419334920 is an abundant number, since it is smaller than the sum of its proper divisors (13382106360).

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

4419334920 is a wasteful number, since it uses less digits than its factorization.

4419334920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36836 (or 36832 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 4419334920 is about 66478.0784920864. The cubic root of 4419334920 is about 1641.0392629568.

The spelling of 4419334920 in words is "four billion, four hundred nineteen million, three hundred thirty-four thousand, nine hundred twenty".