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43712379648 = 2836733461
BaseRepresentation
bin101000101101011101…
…011111101100000000
311011211101112222000000
4220231131133230000
51204010332122043
632025312000000
73105143045040
oct505535375400
9134741488000
1043712379648
11175a15538a3
12857b230000
13417821bc02
142189651720
15120c8962d3
hexa2d75fb00

43712379648 has 252 divisors, whose sum is σ = 149514373008. Its totient is φ = 12488878080.

The previous prime is 43712379647. The next prime is 43712379661. The reversal of 43712379648 is 84697321734.

43712379648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 43712379594 and 43712379603.

It is not an unprimeable number, because it can be changed into a prime (43712379647) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1289638 + ... + 1323098.

It is an arithmetic number, because the mean of its divisors is an integer number (593311004).

Almost surely, 243712379648 is an apocalyptic number.

43712379648 is a gapful number since it is divisible by the number (48) 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 43712379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74757186504).

43712379648 is an abundant number, since it is smaller than the sum of its proper divisors (105801993360).

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

43712379648 is an frugal number, since it uses more digits than its factorization.

43712379648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33502 (or 33473 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 43712379648 in words is "forty-three billion, seven hundred twelve million, three hundred seventy-nine thousand, six hundred forty-eight".