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9149859420 = 22351324773263
BaseRepresentation
bin10001000010101111…
…11100011001011100
3212121200002000111020
420201113330121130
5122214331000140
64111533124140
7442512343662
oct104127743134
925550060436
109149859420
113975947899
121934329650
13b2a830200
1462b2a4c32
1538842e6d0
hex2215fc65c

9149859420 has 288 divisors, whose sum is σ = 28829509632. Its totient is φ = 2165889024.

The previous prime is 9149859413. The next prime is 9149859427. The reversal of 9149859420 is 249589419.

9149859420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9149859413) and next prime (9149859427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9149859427) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 34790209 + ... + 34790471.

It is an arithmetic number, because the mean of its divisors is an integer number (100102464).

Almost surely, 29149859420 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 9149859420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414754816).

9149859420 is an abundant number, since it is smaller than the sum of its proper divisors (19679650212).

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

9149859420 is a wasteful number, since it uses less digits than its factorization.

9149859420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 9149859420 is about 95654.8975222910. The cubic root of 9149859420 is about 2091.5655204252.

The spelling of 9149859420 in words is "nine billion, one hundred forty-nine million, eight hundred fifty-nine thousand, four hundred twenty".