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18889120000 = 2854118057
BaseRepresentation
bin10001100101111000…
…010001100100000000
31210202102012201101001
4101211320101210000
5302141103320000
612402203221344
71236042604462
oct214570214400
953672181331
1018889120000
118013463483
1237b1b17854
131a204b79aa
14cb2954132
1575848646a
hex465e11900

18889120000 has 90 divisors (see below), whose sum is σ = 47115885278. Its totient is φ = 7555584000.

The previous prime is 18889119989. The next prime is 18889120007. The reversal of 18889120000 is 2198881.

It can be written as a sum of positive squares in 5 ways, for example, as 3536918784 + 15352201216 = 59472^2 + 123904^2 .

It is not an unprimeable number, because it can be changed into a prime (18889120007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 100972 + ... + 219028.

Almost surely, 218889120000 is an apocalyptic number.

18889120000 is a gapful number since it is divisible by the number (10) 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 18889120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23557942639).

18889120000 is an abundant number, since it is smaller than the sum of its proper divisors (28226765278).

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

18889120000 is an frugal number, since it uses more digits than its factorization.

18889120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118093 (or 118064 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The spelling of 18889120000 in words is "eighteen billion, eight hundred eighty-nine million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 118057 160000 236114 472228 590285 944456 1180570 1888912 2361140 2951425 3777824 4722280 5902850 7555648 9444560 11805700 14757125 15111296 18889120 23611400 29514250 30222592 37778240 47222800 59028500 73785625 75556480 94445600 118057000 147571250 151112960 188891200 236114000 295142500 377782400 472228000 590285000 755564800 944456000 1180570000 1888912000 2361140000 3777824000 4722280000 9444560000 18889120000