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5678340480 = 273252334231
BaseRepresentation
bin1010100100111010…
…01001100110000000
3112122201210120202200
411102131021212000
543112123343410
62335242313200
7260500045341
oct52235114600
915581716680
105678340480
11245430327a
1211257b8800
136c65563a7
143bc1dc0c8
1523379b3c0
hex152749980

5678340480 has 192 divisors, whose sum is σ = 19696828320. Its totient is φ = 1507368960.

The previous prime is 5678340449. The next prime is 5678340497. The reversal of 5678340480 is 840438765.

5678340480 is a `hidden beast` number, since 56 + 7 + 83 + 40 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 1339965 + ... + 1344195.

Almost surely, 25678340480 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 5678340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9848414160).

5678340480 is an abundant number, since it is smaller than the sum of its proper divisors (14018487840).

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

5678340480 is a wasteful number, since it uses less digits than its factorization.

5678340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5678340480 is about 75354.7641493224. The cubic root of 5678340480 is about 1784.0504989493.

The spelling of 5678340480 in words is "five billion, six hundred seventy-eight million, three hundred forty thousand, four hundred eighty".