Search a number
-
+
19789455625 = 541723312
BaseRepresentation
bin10010011011100010…
…110010000100001001
31220002011100111122221
4102123202302010021
5311012100040000
613031404414041
71300254411622
oct223342620411
956064314587
1019789455625
1184356a4a05
123a03547321
131b34b9b074
14d5a35aa49
157ac52c61a
hex49b8b2109

19789455625 has 45 divisors (see below), whose sum is σ = 26348714931. Its totient is φ = 14855280000.

The previous prime is 19789455613. The next prime is 19789455671. The reversal of 19789455625 is 52655498791.

The square root of 19789455625 is 140675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 9664266249 + 10125189376 = 98307^2 + 100624^2 .

It is not a de Polignac number, because 19789455625 - 217 = 19789324553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 59786710 + ... + 59787040.

Almost surely, 219789455625 is an apocalyptic number.

19789455625 is the 140675-th square number.

19789455625 is the 70338-th centered octagonal number.

It is an amenable number.

19789455625 is a deficient number, since it is larger than the sum of its proper divisors (6559259306).

19789455625 is an frugal number, since it uses more digits than its factorization.

19789455625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 353 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 61.

The spelling of 19789455625 in words is "nineteen billion, seven hundred eighty-nine million, four hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 17 25 85 125 289 331 425 625 1445 1655 2125 5627 7225 8275 10625 28135 36125 41375 95659 109561 140675 180625 206875 478295 547805 703375 1862537 2391475 2739025 3516875 9312685 11957375 13695125 31663129 46563425 59786875 68475625 158315645 232817125 791578225 1164085625 3957891125 19789455625