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2047359168 = 26322329732
BaseRepresentation
bin111101000001000…
…0011100011000000
312021200110121210100
41322002003203000
513143110443133
6535054002400
7101510160111
oct17202034300
95250417710
102047359168
11960754278
124917a6400
1326821973a
14155ca6208
15beb19e13
hex7a0838c0

2047359168 has 252 divisors, whose sum is σ = 6422654160. Its totient is φ = 621637632.

The previous prime is 2047359143. The next prime is 2047359169. The reversal of 2047359168 is 8619537402.

2047359168 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

2047359168 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (2047359169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28045980 + ... + 28046052.

It is a 1-persistent number, because it is pandigital, but 2⋅2047359168 = 4094718336 is not.

Almost surely, 22047359168 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 2047359168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211327080).

2047359168 is an abundant number, since it is smaller than the sum of its proper divisors (4375294992).

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

2047359168 is a wasteful number, since it uses less digits than its factorization.

2047359168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 130 counting only the distinct ones).

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

The square root of 2047359168 is about 45247.7531817879. The cubic root of 2047359168 is about 1269.7883723673.

The spelling of 2047359168 in words is "two billion, forty-seven million, three hundred fifty-nine thousand, one hundred sixty-eight".