Search a number
-
+
1998570309264 = 24321178092
BaseRepresentation
bin11101000101010100000…
…100101100011010010000
321002001122210122000222100
4131011110010230122100
5230221032444344024
64130044105440400
7264251302222344
oct35052404543220
97061583560870
101998570309264
11700652922aa1
122834051a0100
131166062bb619
146ca34a4d624
1536ec27207c9
hex1d15412c690

1998570309264 has 45 divisors (see below), whose sum is σ = 5593268551273. Its totient is φ = 666184448256.

The previous prime is 1998570309199. The next prime is 1998570309271. The reversal of 1998570309264 is 4629030758991.

The square root of 1998570309264 is 1413708.

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

1998570309264 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 570 + 30 + 9 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1851482718864 + 147087590400 = 1360692^2 + 383520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16905592 + ... + 17023400.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1998570309264 = 3997140618528, but 3⋅1998570309264 = 5995710927792 is not.

Almost surely, 21998570309264 is an apocalyptic number.

1998570309264 is the 1413708-th square number.

It is an amenable number.

1998570309264 is an abundant number, since it is smaller than the sum of its proper divisors (3594698242009).

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

1998570309264 is an frugal number, since it uses more digits than its factorization.

1998570309264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235632 (or 117814 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 1998570309264 in words is "one trillion, nine hundred ninety-eight billion, five hundred seventy million, three hundred nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 117809 235618 353427 471236 706854 942472 1060281 1413708 1884944 2120562 2827416 4241124 5654832 8482248 16964496 13878960481 27757920962 41636881443 55515841924 83273762886 111031683848 124910644329 166547525772 222063367696 249821288658 333095051544 499642577316 666190103088 999285154632 1998570309264