Search a number
-
+
129338052496 = 24899092
BaseRepresentation
bin111100001110100100…
…1100000111110010000
3110100211210100211100121
41320131021200332100
54104341020134441
6135230031200024
712226055210152
oct1703511407620
9410753324317
10129338052496
114a940a60184
1221097076014
13c2729c9713
14638d5d8ad2
15356ebaadd1
hex1e1d260f90

129338052496 has 15 divisors (see below), whose sum is σ = 250595263921. Its totient is φ = 64668306976.

The previous prime is 129338052463. The next prime is 129338052509. The reversal of 129338052496 is 694250833921.

The square root of 129338052496 is 359636.

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., 16495806096 + 112842246400 = 128436^2 + 335920^2 .

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 1393590 + ... + 1483498.

Almost surely, 2129338052496 is an apocalyptic number.

129338052496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

129338052496 is the 359636-th square number.

It is an amenable number.

129338052496 is a deficient number, since it is larger than the sum of its proper divisors (121257211425).

129338052496 is an frugal number, since it uses more digits than its factorization.

129338052496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179826 (or 89911 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 129338052496 in words is "one hundred twenty-nine billion, three hundred thirty-eight million, fifty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 89909 179818 359636 719272 1438544 8083628281 16167256562 32334513124 64669026248 129338052496