Search a number
-
+
5404007016 = 233934319
BaseRepresentation
bin1010000100001101…
…01001101001101000
3111221121121000000000
411002012221221220
542031411211031
62252122343000
7250626205332
oct50206515150
914847530000
105404007016
11232346a501
12106995aa60
13681773cb5
143939ca452
1521965c3e6
hex1421a9a68

5404007016 has 80 divisors (see below), whose sum is σ = 15198955200. Its totient is φ = 1801283184.

The previous prime is 5404007003. The next prime is 5404007027. The reversal of 5404007016 is 6107004045.

5404007016 is a `hidden beast` number, since 540 + 40 + 0 + 70 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140305 + ... + 174623.

It is an arithmetic number, because the mean of its divisors is an integer number (189986940).

Almost surely, 25404007016 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 5404007016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599477600).

5404007016 is an abundant number, since it is smaller than the sum of its proper divisors (9794948184).

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

5404007016 is an frugal number, since it uses more digits than its factorization.

5404007016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34352 (or 34324 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5404007016 is about 73511.9515181035. The cubic root of 5404007016 is about 1754.8444832609.

The spelling of 5404007016 in words is "five billion, four hundred four million, seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 6561 8748 13122 17496 19683 26244 34319 39366 52488 68638 78732 102957 137276 157464 205914 274552 308871 411828 617742 823656 926613 1235484 1853226 2470968 2779839 3706452 5559678 7412904 8339517 11119356 16679034 22238712 25018551 33358068 50037102 66716136 75055653 100074204 150111306 200148408 225166959 300222612 450333918 600445224 675500877 900667836 1351001754 1801335672 2702003508 5404007016