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4872870000 = 243254291867
BaseRepresentation
bin1001000100111001…
…00001100001110000
3110120121011102222200
410202130201201300
534434423320000
62123310303200
7231516466035
oct44234414160
913517142880
104872870000
112080676399
12b3bab7b00
135c870953b
1434324b38c
151d7be3500
hex122721870

4872870000 has 300 divisors, whose sum is σ = 17638197720. Its totient is φ = 1253952000.

The previous prime is 4872869927. The next prime is 4872870007. The reversal of 4872870000 is 782784.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4872870007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2609067 + ... + 2610933.

Almost surely, 24872870000 is an apocalyptic number.

4872870000 is a gapful number since it is divisible by the number (40) 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 4872870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8819098860).

4872870000 is an abundant number, since it is smaller than the sum of its proper divisors (12765327720).

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

4872870000 is a wasteful number, since it uses less digits than its factorization.

4872870000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4872870000 is about 69805.9453055397. The cubic root of 4872870000 is about 1695.3587357760.

The spelling of 4872870000 in words is "four billion, eight hundred seventy-two million, eight hundred seventy thousand".