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12385697726224 = 24192463072
BaseRepresentation
bin1011010000111100010100…
…0111001111111100010000
31121212001122120101200112201
42310033011013033330100
53110411402104214344
642201524434532544
72415560064415234
oct264170507177420
947761576350481
1012385697726224
113a45821521229
121480521137154
136bac73c06324
1430b6844a25c4
151672a8dc84d4
hexb43c51cff10

12385697726224 has 45 divisors (see below), whose sum is σ = 25327326002727. Its totient is φ = 5866782753312.

The previous prime is 12385697726117. The next prime is 12385697726251. The reversal of 12385697726224 is 42262779658321.

The square root of 12385697726224 is 3519332.

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

12385697726224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 267446079 + ... + 267492385.

Almost surely, 212385697726224 is an apocalyptic number.

12385697726224 is the 3519332-nd square number.

It is an amenable number.

12385697726224 is an abundant number, since it is smaller than the sum of its proper divisors (12941628276503).

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

12385697726224 is an frugal number, since it uses more digits than its factorization.

12385697726224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92660 (or 46328 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 64.

Multiplying 12385697726224 by its sum of digits (64), we get a square (792684654478336 = 281546562).

The spelling of 12385697726224 in words is "twelve trillion, three hundred eighty-five billion, six hundred ninety-seven million, seven hundred twenty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 46307 92614 185228 370456 740912 879833 1759666 3519332 7038664 14077328 16716827 33433654 66867308 133734616 267469232 2144338249 4288676498 8577352996 17154705992 34309411984 40742426731 81484853462 162969706924 325939413848 651878827696 774106107889 1548212215778 3096424431556 6192848863112 12385697726224