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186975813649 = 383211292
BaseRepresentation
bin1010111000100010100…
…0001000000000010001
3122212121122222110121011
42232020220020000101
511030411302014044
6221521232330521
716336302123142
oct2561050100021
9585548873534
10186975813649
1172328a77229
12302a19a3a41
1314829c2c731
14909a45bac9
154ce4d46134
hex2b88a08011

186975813649 has 9 divisors (see below), whose sum is σ = 187631468283. Its totient is φ = 186322446672.

The previous prime is 186975813559. The next prime is 186975813697. The reversal of 186975813649 is 946318579681.

The square root of 186975813649 is 432407.

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., 15877764049 + 171098049600 = 126007^2 + 413640^2 .

It is not a de Polignac number, because 186975813649 - 221 = 186973716497 is a prime.

It is a Duffinian number.

Its product of digits (78382080) is a multiple of the sum of its prime divisors (1512).

It is not an unprimeable number, because it can be changed into a prime (186975813749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 165611317 + ... + 165612445.

Almost surely, 2186975813649 is an apocalyptic number.

186975813649 is the 432407-th square number.

186975813649 is the 216204-th centered octagonal number.

It is an amenable number.

186975813649 is a deficient number, since it is larger than the sum of its proper divisors (655654634).

186975813649 is an frugal number, since it uses more digits than its factorization.

186975813649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 1512 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 67.

The spelling of 186975813649 in words is "one hundred eighty-six billion, nine hundred seventy-five million, eight hundred thirteen thousand, six hundred forty-nine".

Divisors: 1 383 1129 146689 432407 1274641 165611881 488187503 186975813649