Search a number
-
+
404805392128 = 2816733728097
BaseRepresentation
bin1011110010000000100…
…10000001011100000000
31102200212120202120202001
411321000102001130000
523113020140022003
6505544240233344
741150312026414
oct5710022013400
91380776676661
10404805392128
1114674a0aa655
126655460b854
132c233080037
1415842486d44
15a7e370d61d
hex5e40481700

404805392128 has 72 divisors (see below), whose sum is σ = 815309101152. Its totient is φ = 200586559488.

The previous prime is 404805392087. The next prime is 404805392137. The reversal of 404805392128 is 821293508404.

It is a congruent number.

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, 14393376 + ... + 14421472.

It is an arithmetic number, because the mean of its divisors is an integer number (11323737516).

Almost surely, 2404805392128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404805392128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407654550576).

404805392128 is an abundant number, since it is smaller than the sum of its proper divisors (410503709024).

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

404805392128 is a wasteful number, since it uses less digits than its factorization.

404805392128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28617 (or 28603 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 404805392128 in words is "four hundred four billion, eight hundred five million, three hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 167 256 334 337 668 674 1336 1348 2672 2696 5344 5392 10688 10784 21376 21568 28097 42752 43136 56194 56279 86272 112388 112558 224776 225116 449552 450232 899104 900464 1798208 1800928 3596416 3601856 4692199 7192832 7203712 9384398 9468689 14407424 18768796 18937378 37537592 37874756 75075184 75749512 150150368 151499024 300300736 302998048 600601472 605996096 1201202944 1211992192 1581271063 2423984384 3162542126 6325084252 12650168504 25300337008 50600674016 101201348032 202402696064 404805392128