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2872267776 = 2103571797
BaseRepresentation
bin1010101100110011…
…0101010000000000
321102011200022200000
42223030311100000
521340300032101
61153002400000
7131114605350
oct25314652000
97364608600
102872267776
111244358324
12681b00000
1336a0b1041
141d3676b60
1511c262486
hexab335400

2872267776 has 528 divisors, whose sum is σ = 10514964096. Its totient is φ = 764411904.

The previous prime is 2872267771. The next prime is 2872267789. The reversal of 2872267776 is 6777622782.

2872267776 is a `hidden beast` number, since 287 + 226 + 77 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5531904) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872267771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29610960 + ... + 29611056.

Almost surely, 22872267776 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 2872267776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257482048).

2872267776 is an abundant number, since it is smaller than the sum of its proper divisors (7642696320).

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

2872267776 is an equidigital number, since it uses as much as digits as its factorization.

2872267776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 126 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The square root of 2872267776 is about 53593.5422975567. The cubic root of 2872267776 is about 1421.4829076464.

The spelling of 2872267776 in words is "two billion, eight hundred seventy-two million, two hundred sixty-seven thousand, seven hundred seventy-six".