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43482426624 = 28327132371127
BaseRepresentation
bin101000011111110000…
…010010110100000000
311011020100212010202100
4220133300102310000
51203023000122444
631550415150400
73066351346050
oct503760226400
9134210763670
1043482426624
111749377277a
128516215400
13413c6a8130
142166cb3560
1511e75c1e69
hexa1fc12d00

43482426624 has 864 divisors, whose sum is σ = 164564434944. Its totient is φ = 10729635840.

The previous prime is 43482426623. The next prime is 43482426641. The reversal of 43482426624 is 42662428434.

43482426624 is a `hidden beast` number, since 4 + 348 + 24 + 266 + 24 = 666.

It is a super-2 number, since 2×434824266242 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 43482426624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43482426623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342381249 + ... + 342381375.

It is an arithmetic number, because the mean of its divisors is an integer number (190468096).

Almost surely, 243482426624 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 43482426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82282217472).

43482426624 is an abundant number, since it is smaller than the sum of its proper divisors (121082008320).

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

43482426624 is a wasteful number, since it uses less digits than its factorization.

43482426624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

The spelling of 43482426624 in words is "forty-three billion, four hundred eighty-two million, four hundred twenty-six thousand, six hundred twenty-four".