Search a number
-
+
12299697216 = 263246212
BaseRepresentation
bin10110111010001111…
…00111110001000000
31011202012001100122100
423131013213301000
5200142210302331
65352253110400
7613540462362
oct133507476100
934665040570
1012299697216
115241949624
122473188400
131210287861
14849752d32
154bec1eae6
hex2dd1e7c40

12299697216 has 63 divisors (see below), whose sum is σ = 35262492213. Its totient is φ = 4099011840.

The previous prime is 12299697103. The next prime is 12299697269. The reversal of 12299697216 is 61279699221.

The square root of 12299697216 is 110904.

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

12299697216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4583831616 + 7715865600 = 67704^2 + 87840^2 .

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 8 ways as a sum of consecutive naturals, for example, 2659386 + ... + 2664006.

Almost surely, 212299697216 is an apocalyptic number.

12299697216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12299697216 is the 110904-th square number.

It is an amenable number.

12299697216 is an abundant number, since it is smaller than the sum of its proper divisors (22962794997).

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

12299697216 is an frugal number, since it uses more digits than its factorization.

12299697216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9260 (or 4626 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The spelling of 12299697216 in words is "twelve billion, two hundred ninety-nine million, six hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4621 9242 13863 18484 27726 36968 41589 55452 73936 83178 110904 147872 166356 221808 295744 332712 443616 665424 887232 1330848 2661696 21353641 42707282 64060923 85414564 128121846 170829128 192182769 256243692 341658256 384365538 512487384 683316512 768731076 1024974768 1366633024 1537462152 2049949536 3074924304 4099899072 6149848608 12299697216