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5447443680 = 253257341269
BaseRepresentation
bin1010001001011000…
…10110010011100000
3112001122022210220100
411010230112103200
542124021144210
62300313342400
7251664336000
oct50454262340
915048283810
105447443680
112345a38078
121080407a00
1368a771b73
14399696000
1521d38c5c0
hex144b164e0

5447443680 has 576 divisors, whose sum is σ = 22289904000. Its totient is φ = 1210245120.

The previous prime is 5447443663. The next prime is 5447443693. The reversal of 5447443680 is 863447445.

5447443680 is a `hidden beast` number, since 544 + 7 + 4 + 43 + 68 + 0 = 666.

It is a super-4 number, since 4×54474436804 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20250586 + ... + 20250854.

It is an arithmetic number, because the mean of its divisors is an integer number (38697750).

Almost surely, 25447443680 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 5447443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144952000).

5447443680 is an abundant number, since it is smaller than the sum of its proper divisors (16842460320).

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

5447443680 is a wasteful number, since it uses less digits than its factorization.

5447443680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The square root of 5447443680 is about 73806.7996867497. The cubic root of 5447443680 is about 1759.5336746638.

The spelling of 5447443680 in words is "five billion, four hundred forty-seven million, four hundred forty-three thousand, six hundred eighty".