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14977598689 = 1722323132
BaseRepresentation
bin11011111001011110…
…00000010011100001
31102122210222211212101
431330233000103201
5221133231124224
610514113530401
71040105326324
oct157457002341
942583884771
1014977598689
116396511639
122a9bb73a01
131549004941
14a212727bb
155c9d8c044
hex37cbc04e1

14977598689 has 27 divisors (see below), whose sum is σ = 16685603193. Its totient is φ = 13440590592.

The previous prime is 14977598687. The next prime is 14977598717. The reversal of 14977598689 is 98689577941.

The square root of 14977598689 is 122383.

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

14977598689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2379781089 + 12597817600 = 48783^2 + 112240^2 .

It is not a de Polignac number, because 14977598689 - 21 = 14977598687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14977598687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 47851597 + ... + 47851909.

Almost surely, 214977598689 is an apocalyptic number.

14977598689 is the 122383-rd square number.

14977598689 is the 61192-nd centered octagonal number.

It is an amenable number.

14977598689 is a deficient number, since it is larger than the sum of its proper divisors (1708004504).

14977598689 is an frugal number, since it uses more digits than its factorization.

14977598689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 353 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 73.

The spelling of 14977598689 in words is "fourteen billion, nine hundred seventy-seven million, five hundred ninety-eight thousand, six hundred eighty-nine".

Divisors: 1 17 23 289 313 391 529 5321 6647 7199 8993 90457 97969 122383 152881 165577 1665473 2080511 2253287 2814809 28313041 38305879 47851753 51825601 651199943 881035217 14977598689