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4431968780 = 2253715793793
BaseRepresentation
bin1000010000010101…
…00111101000001100
3102102212112100012212
410020022213220030
533034041000110
62011440245552
7214554053531
oct41012475014
912385470185
104431968780
111974804818
12a383108b8
13558277145
1430087ad88
151ae150e05
hex1082a7a0c

4431968780 has 48 divisors (see below), whose sum is σ = 9567253920. Its totient is φ = 1723327488.

The previous prime is 4431968767. The next prime is 4431968789. The reversal of 4431968780 is 878691344.

It is not an unprimeable number, because it can be changed into a prime (4431968789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166564 + ... + 1170356.

It is an arithmetic number, because the mean of its divisors is an integer number (199317790).

Almost surely, 24431968780 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 4431968780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783626960).

4431968780 is an abundant number, since it is smaller than the sum of its proper divisors (5135285140).

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

4431968780 is a wasteful number, since it uses less digits than its factorization.

4431968780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5418 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The square root of 4431968780 is about 66573.0334294600. The cubic root of 4431968780 is about 1642.6015594986.

The spelling of 4431968780 in words is "four billion, four hundred thirty-one million, nine hundred sixty-eight thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 1579 3158 3793 6316 7586 7895 15172 15790 18965 31580 37930 58423 75860 116846 140341 233692 280682 292115 561364 584230 701705 1168460 1403410 2806820 5989147 11978294 23956588 29945735 59891470 119782940 221598439 443196878 886393756 1107992195 2215984390 4431968780