Search a number
-
+
448128491776 = 28724321392
BaseRepresentation
bin1101000010101101000…
…10100010000100000000
31120211200211211001222021
412201112202202010000
524320231343214101
6541511204451224
744243020221400
oct6412642420400
91524624731867
10448128491776
1116306093a639
1272a253a9b14
1333348741b44
1417992124800
15b9cbd0c5a1
hex68568a2100

448128491776 has 243 divisors, whose sum is σ = 1073029155471. Its totient is φ = 186239112192.

The previous prime is 448128491731. The next prime is 448128491791. The reversal of 448128491776 is 677194821844.

It is a happy number.

The square root of 448128491776 is 669424.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3223945915 + ... + 3223946053.

Almost surely, 2448128491776 is an apocalyptic number.

448128491776 is the 669424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448128491776

448128491776 is an abundant number, since it is smaller than the sum of its proper divisors (624900663695).

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

448128491776 is an frugal number, since it uses more digits than its factorization.

448128491776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 191 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 61.

The spelling of 448128491776 in words is "four hundred forty-eight billion, one hundred twenty-eight million, four hundred ninety-one thousand, seven hundred seventy-six".