Search a number
-
+
9864959120 = 245123311989
BaseRepresentation
bin10010010111111111…
…10101010010010000
3221110111122211212022
421023333311102100
5130200412142440
64310520151012
7466314524522
oct111377652220
927414584768
109864959120
11420256a885
121ab3908468
13c12a28423
1469824da12
153cb0d5cb5
hex24bff5490

9864959120 has 20 divisors (see below), whose sum is σ = 22936030140. Its totient is φ = 3945983616.

The previous prime is 9864959089. The next prime is 9864959149. The reversal of 9864959120 is 219594689.

It can be written as a sum of positive squares in 2 ways, for example, as 1315367824 + 8549591296 = 36268^2 + 92464^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61655915 + ... + 61656074.

It is an arithmetic number, because the mean of its divisors is an integer number (1146801507).

Almost surely, 29864959120 is an apocalyptic number.

It is an amenable number.

9864959120 is an abundant number, since it is smaller than the sum of its proper divisors (13071071020).

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

9864959120 is a wasteful number, since it uses less digits than its factorization.

9864959120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123312002 (or 123311996 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 53.

The square root of 9864959120 is about 99322.5005726296. The cubic root of 9864959120 is about 2144.6928139419.

The spelling of 9864959120 in words is "nine billion, eight hundred sixty-four million, nine hundred fifty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 123311989 246623978 493247956 616559945 986495912 1233119890 1972991824 2466239780 4932479560 9864959120