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5412986329 = 292432592
BaseRepresentation
bin1010000101010001…
…11001110111011001
3111222020111012022011
411002220321313121
542041211030304
62253043025521
7251065424152
oct50250716731
914866435264
105412986329
112328542823
12107096b2a1
136835990ba
14394c86929
1521a332c04
hex142a39dd9

5412986329 has 27 divisors (see below), whose sum is σ = 5838411423. Its totient is φ = 5018267184.

The previous prime is 5412986317. The next prime is 5412986339. The reversal of 5412986329 is 9236892145.

The square root of 5412986329 is 73573.

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., 2838438729 + 2574547600 = 53277^2 + 50740^2 .

It is not a de Polignac number, because 5412986329 - 25 = 5412986297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5412986339) 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, 91745502 + ... + 91745560.

Almost surely, 25412986329 is an apocalyptic number.

5412986329 is a gapful number since it is divisible by the number (59) formed by its first and last digit.

5412986329 is the 73573-rd square number.

5412986329 is the 36787-th centered octagonal number.

It is an amenable number.

5412986329 is a deficient number, since it is larger than the sum of its proper divisors (425425094).

5412986329 is an frugal number, since it uses more digits than its factorization.

5412986329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 131 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The cubic root of 5412986329 is about 1755.8158969068.

Multiplying 5412986329 by its sum of digits (49), we get a square (265236330121 = 5150112).

The spelling of 5412986329 in words is "five billion, four hundred twelve million, nine hundred eighty-six thousand, three hundred twenty-nine".

Divisors: 1 29 43 59 841 1247 1711 1849 2537 3481 36163 49619 53621 73573 100949 109091 149683 1555009 2133617 2927521 3163639 4340807 6436369 91745531 125883403 186654701 5412986329