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4498104960 = 2736531311
BaseRepresentation
bin1000011000001101…
…11010001010000000
3102121110222102000000
410030012322022000
533203003324320
62022202000000
7216316155426
oct41406721200
912543872000
104498104960
1119a9076918
12a564a6000
13568b9208b
14309575116
151b4d66c90
hex10c1ba280

4498104960 has 448 divisors, whose sum is σ = 16696143360. Its totient is φ = 1157068800.

The previous prime is 4498104959. The next prime is 4498104977. The reversal of 4498104960 is 694018944.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14463205 + ... + 14463515.

Almost surely, 24498104960 is an apocalyptic number.

4498104960 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 4498104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348071680).

4498104960 is an abundant number, since it is smaller than the sum of its proper divisors (12198038400).

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

4498104960 is an equidigital number, since it uses as much as digits as its factorization.

4498104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4498104960 is about 67067.9130434219. The cubic root of 4498104960 is about 1650.7318406408.

It can be divided in two parts, 449 and 8104960, that added together give a square (8105409 = 28472).

The spelling of 4498104960 in words is "four billion, four hundred ninety-eight million, one hundred four thousand, nine hundred sixty".