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2873193120 = 2538571723
BaseRepresentation
bin1010101101000001…
…0111001010100000
321102020102100000000
42223100113022200
521341014134440
61153034300000
7131125511220
oct25320271240
97366370000
102873193120
11124492a576
12682287600
1336a346295
141d3838080
1511c396730
hexab4172a0

2873193120 has 864 divisors, whose sum is σ = 12855967488. Its totient is φ = 591224832.

The previous prime is 2873193109. The next prime is 2873193131. The reversal of 2873193120 is 213913782.

2873193120 is a `hidden beast` number, since 28 + 7 + 319 + 312 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2873193109) and next prime (2873193131).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 124921429 + ... + 124921451.

It is an arithmetic number, because the mean of its divisors is an integer number (14879592).

Almost surely, 22873193120 is an apocalyptic number.

2873193120 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 2873193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427983744).

2873193120 is an abundant number, since it is smaller than the sum of its proper divisors (9982774368).

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

2873193120 is an equidigital number, since it uses as much as digits as its factorization.

2873193120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2873193120 is about 53602.1745827536. The cubic root of 2873193120 is about 1421.6355419124.

The spelling of 2873193120 in words is "two billion, eight hundred seventy-three million, one hundred ninety-three thousand, one hundred twenty".