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9077388768 = 25347271471
BaseRepresentation
bin10000111010000110…
…11111010111100000
3212102121201010110000
420131003133113200
5122042302420033
64100423540000
7440642350200
oct103503372740
925377633400
109077388768
113938a49598
121913bba600
13b18807c76
146217dc400
15381db6a13
hex21d0df5e0

9077388768 has 180 divisors, whose sum is σ = 31055370192. Its totient is φ = 2593503360.

The previous prime is 9077388713. The next prime is 9077388779. The reversal of 9077388768 is 8678837709.

9077388768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 91273 + ... + 162743.

Almost surely, 29077388768 is an apocalyptic number.

9077388768 is a gapful number since it is divisible by the number (98) 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 9077388768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15527685096).

9077388768 is an abundant number, since it is smaller than the sum of its proper divisors (21977981424).

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

9077388768 is a wasteful number, since it uses less digits than its factorization.

9077388768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71507 (or 71483 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 63.

The square root of 9077388768 is about 95275.3313717670. The cubic root of 9077388768 is about 2086.0288571598.

The spelling of 9077388768 in words is "nine billion, seventy-seven million, three hundred eighty-eight thousand, seven hundred sixty-eight".