Search a number
-
+
515560937405089 = 2772819712
BaseRepresentation
bin111010100111001100110001…
…0100010001011101010100001
32111121110010220011121122200211
41311032121202202023222201
51020033422244433430324
65024301231442414121
7213411022434500122
oct16516314242135241
92447403804548624
10515560937405089
1113a301190579154
12499a71b6961341
131918a259750484
1491453d5300049
153e90dca863294
hex1d4e66288baa1

515560937405089 has 9 divisors (see below), whose sum is σ = 517435199888691. Its totient is φ = 513693439737240.

The previous prime is 515560937405077. The next prime is 515560937405167. The reversal of 515560937405089 is 980504739065515.

The square root of 515560937405089 is 22705967.

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., 88862013022225 + 426698924382864 = 9426665^2 + 20656692^2 .

It is a de Polignac number, because none of the positive numbers 2k-515560937405089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (515560937405069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6289511874 + ... + 6289593844.

Almost surely, 2515560937405089 is an apocalyptic number.

515560937405089 is the 22705967-th square number.

515560937405089 is the 11352984-th centered octagonal number.

It is an amenable number.

515560937405089 is a deficient number, since it is larger than the sum of its proper divisors (1874262483602).

515560937405089 is an frugal number, since it uses more digits than its factorization.

515560937405089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164496 (or 82248 counting only the distinct ones).

The product of its (nonzero) digits is 204120000, while the sum is 67.

The spelling of 515560937405089 in words is "five hundred fifteen trillion, five hundred sixty billion, nine hundred thirty-seven million, four hundred five thousand, eighty-nine".

Divisors: 1 277 76729 81971 22705967 6289552859 6719244841 1861230820957 515560937405089