Search a number
-
+
100389486649 = 67247292
BaseRepresentation
bin101110101111110101…
…1100000000000111001
3100121010022112022111011
41131133223200000321
53121044202033044
6114041315033521
710152513362044
oct1353753400071
9317108468434
10100389486649
11396362801a1
121755829b8a1
13960b40c90a
144c04a89c5b
152928523134
hex175fae0039

100389486649 has 9 divisors (see below), whose sum is σ = 101931755247. Its totient is φ = 98870224464.

The previous prime is 100389486599. The next prime is 100389486661. The reversal of 100389486649 is 946684983001.

It is a happy number.

The square root of 100389486649 is 316843.

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

It can be written as a sum of positive squares in only one way, i.e., 2069613049 + 98319873600 = 45493^2 + 313560^2 .

It is not a de Polignac number, because 100389486649 - 213 = 100389478457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100389486593 and 100389486602.

It is not an unprimeable number, because it can be changed into a prime (100389486689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21226117 + ... + 21230845.

It is an arithmetic number, because the mean of its divisors is an integer number (11325750583).

Almost surely, 2100389486649 is an apocalyptic number.

100389486649 is the 316843-rd square number.

100389486649 is the 158422-nd centered octagonal number.

It is an amenable number.

100389486649 is a deficient number, since it is larger than the sum of its proper divisors (1542268598).

100389486649 is an frugal number, since it uses more digits than its factorization.

100389486649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 100389486649 in words is "one hundred billion, three hundred eighty-nine million, four hundred eighty-six thousand, six hundred forty-nine".

Divisors: 1 67 4489 4729 316843 21228481 22363441 1498350547 100389486649