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5928367104 = 2103311101193
BaseRepresentation
bin1011000010101101…
…11011010000000000
3120022011021020211000
411201112323100000
544120130221404
62420133252000
7266624201052
oct54126732000
916264236730
105928367104
112572454a50
121195494000
137362a7c3a
144034c38d2
1524a6d8339
hex1615bb400

5928367104 has 352 divisors, whose sum is σ = 19442897280. Its totient is φ = 1769472000.

The previous prime is 5928367087. The next prime is 5928367111. The reversal of 5928367104 is 4017638295.

5928367104 is digitally balanced in base 10, 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 (352).

5928367104 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 5928367104.

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 31 ways as a sum of consecutive naturals, for example, 30716832 + ... + 30717024.

It is a 1-persistent number, because it is pandigital, but 2⋅5928367104 = 11856734208 is not.

Almost surely, 25928367104 is an apocalyptic number.

5928367104 is a gapful number since it is divisible by the number (54) 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 5928367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9721448640).

5928367104 is an abundant number, since it is smaller than the sum of its proper divisors (13514530176).

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

5928367104 is a wasteful number, since it uses less digits than its factorization.

5928367104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5928367104 is about 76995.8901760347. The cubic root of 5928367104 is about 1809.8601994117.

The spelling of 5928367104 in words is "five billion, nine hundred twenty-eight million, three hundred sixty-seven thousand, one hundred four".