Search a number
-
+
12929054436 = 223463172
BaseRepresentation
bin11000000101010000…
…11011011011100100
31020101001022000110000
430002220123123210
5202434314220221
65534534301300
7635252102154
oct140250333344
936331260400
1012929054436
115535128a61
122609ab7830
1312b079198c
148a917c764
1550a0dae26
hex302a1b6e4

12929054436 has 45 divisors (see below), whose sum is σ = 33804453529. Its totient is φ = 4309002576.

The previous prime is 12929054389. The next prime is 12929054461. The reversal of 12929054436 is 63445092921.

The square root of 12929054436 is 113706.

It is a perfect power (a square), and thus also a powerful number.

12929054436 is a `hidden beast` number, since 12 + 9 + 2 + 90 + 544 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6960564900 + 5968489536 = 83430^2 + 77256^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12929054391 and 12929054400.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2043550 + ... + 2049866.

Almost surely, 212929054436 is an apocalyptic number.

12929054436 is the 113706-th square number.

It is an amenable number.

12929054436 is an abundant number, since it is smaller than the sum of its proper divisors (20875399093).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12929054436 is an frugal number, since it uses more digits than its factorization.

12929054436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12650 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12929054436 in words is "twelve billion, nine hundred twenty-nine million, fifty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 6317 12634 18951 25268 37902 56853 75804 113706 170559 227412 341118 511677 682236 1023354 2046708 39904489 79808978 119713467 159617956 239426934 359140401 478853868 718280802 1077421203 1436561604 2154842406 3232263609 4309684812 6464527218 12929054436