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4219043472 = 2432721494013
BaseRepresentation
bin1111101101111001…
…0111111010010000
3101220000212121121100
43323132113322100
532120033342342
61534352424400
7206360164200
oct37336277220
911800777540
104219043472
1118755a3896
12998b48100
13523115937
142c0492400
1519a5e1e4c
hexfb797e90

4219043472 has 180 divisors, whose sum is σ = 13830839100. Its totient is φ = 1197052416.

The previous prime is 4219043471. The next prime is 4219043473. The reversal of 4219043472 is 2743409124.

4219043472 is a `hidden beast` number, since 4 + 219 + 0 + 434 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4219043471) and next prime (4219043473).

It can be written as a sum of positive squares in 2 ways, for example, as 1974558096 + 2244485376 = 44436^2 + 47376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4219043471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049338 + ... + 1053350.

It is an arithmetic number, because the mean of its divisors is an integer number (76837995).

Almost surely, 24219043472 is an apocalyptic number.

4219043472 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 4219043472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915419550).

4219043472 is an abundant number, since it is smaller than the sum of its proper divisors (9611795628).

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

4219043472 is a wasteful number, since it uses less digits than its factorization.

4219043472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4219043472 is about 64954.1643930549. The cubic root of 4219043472 is about 1615.8634842852.

The spelling of 4219043472 in words is "four billion, two hundred nineteen million, forty-three thousand, four hundred seventy-two".