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2885137920 = 2933576789
BaseRepresentation
bin1010101111110111…
…1011011000000000
321110001220012012000
42223331323120000
521402043403140
61154142304000
7131332160550
oct25375733000
97401805160
102885137920
111250648905
12686288000
1336c969102
141d5267160
1511d455a30
hexabf7b600

2885137920 has 640 divisors, whose sum is σ = 12020659200. Its totient is φ = 642318336.

The previous prime is 2885137919. The next prime is 2885137921. The reversal of 2885137920 is 297315882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2885137919) and next prime (2885137921).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2885137921) 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 63 ways as a sum of consecutive naturals, for example, 32417236 + ... + 32417324.

It is an arithmetic number, because the mean of its divisors is an integer number (18782280).

Almost surely, 22885137920 is an apocalyptic number.

2885137920 is a gapful number since it is divisible by the number (20) 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 2885137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010329600).

2885137920 is an abundant number, since it is smaller than the sum of its proper divisors (9135521280).

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

2885137920 is an equidigital number, since it uses as much as digits as its factorization.

2885137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2885137920 is about 53713.4798723747. The cubic root of 2885137920 is about 1423.6028855207.

The spelling of 2885137920 in words is "two billion, eight hundred eighty-five million, one hundred thirty-seven thousand, nine hundred twenty".