Search a number
-
+
27353190544 = 2417322392
BaseRepresentation
bin11001011110011000…
…001001000010010000
32121121021212001101021
4121132120021002100
5422004404044134
620322121445224
71655560166131
oct313630110220
977537761337
1027353190544
11106671879a9
125374640814
13276bc13064
141476addc88
15aa159e0b4
hex65e609090

27353190544 has 45 divisors (see below), whose sum is σ = 53528883673. Its totient is φ = 13540646336.

The previous prime is 27353190523. The next prime is 27353190547. The reversal of 27353190544 is 44509135372.

The square root of 27353190544 is 165388.

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., 24881907600 + 2471282944 = 157740^2 + 49712^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27353190544.

It is not an unprimeable number, because it can be changed into a prime (27353190547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114448377 + ... + 114448615.

Almost surely, 227353190544 is an apocalyptic number.

27353190544 is the 165388-th square number.

It is an amenable number.

27353190544 is a deficient number, since it is larger than the sum of its proper divisors (26175693129).

27353190544 is an frugal number, since it uses more digits than its factorization.

27353190544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 27353190544 in words is "twenty-seven billion, three hundred fifty-three million, one hundred ninety thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 173 239 346 478 692 956 1384 1912 2768 3824 29929 41347 57121 59858 82694 114242 119716 165388 228484 239432 330776 456968 478864 661552 913936 7153031 9881933 14306062 19763866 28612124 39527732 57224248 79055464 114448496 158110928 1709574409 3419148818 6838297636 13676595272 27353190544