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2148826128 = 243192356169
BaseRepresentation
bin1000000000010100…
…0111110000010000
312112202101200021220
42000011013300100
513400044414003
6553120445040
7104151502131
oct20005076020
95482350256
102148826128
11a02a57969
124bb779780
13283254b67
14165559c88
15c89ae353
hex80147c10

2148826128 has 40 divisors (see below), whose sum is σ = 5843301600. Its totient is φ = 678576384.

The previous prime is 2148826091. The next prime is 2148826133. The reversal of 2148826128 is 8216288412.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2148826128.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1177173 + ... + 1178996.

It is an arithmetic number, because the mean of its divisors is an integer number (146082540).

Almost surely, 22148826128 is an apocalyptic number.

It is an amenable number.

2148826128 is an abundant number, since it is smaller than the sum of its proper divisors (3694475472).

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

2148826128 is a wasteful number, since it uses less digits than its factorization.

2148826128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356199 (or 2356193 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 2148826128 is about 46355.4325618907. The cubic root of 2148826128 is about 1290.4279428698.

The spelling of 2148826128 in words is "two billion, one hundred forty-eight million, eight hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2356169 4712338 7068507 9424676 14137014 18849352 28274028 37698704 44767211 56548056 89534422 113096112 134301633 179068844 268603266 358137688 537206532 716275376 1074413064 2148826128