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19425669376 = 283122812
BaseRepresentation
bin10010000101110111…
…000011000100000000
31212010210211020202011
4102011313003010000
5304240432410001
612531331302304
71255246315411
oct220567030400
955123736664
1019425669376
118269313a13
12392174a994
131aa76c8b29
14d23d01808
1578a61dd51
hex485dc3100

19425669376 has 81 divisors (see below), whose sum is σ = 40209720789. Its totient is φ = 9366067200.

The previous prime is 19425669313. The next prime is 19425669421. The reversal of 19425669376 is 67396652491.

The square root of 19425669376 is 139376.

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., 13127659776 + 6298009600 = 114576^2 + 79360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19425669376.

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, 69130356 + ... + 69130636.

Almost surely, 219425669376 is an apocalyptic number.

19425669376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19425669376 is the 139376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19425669376

19425669376 is an abundant number, since it is smaller than the sum of its proper divisors (20784051413).

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

19425669376 is an frugal number, since it uses more digits than its factorization.

19425669376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 314 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 58.

The spelling of 19425669376 in words is "nineteen billion, four hundred twenty-five million, six hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 281 496 562 961 992 1124 1922 1984 2248 3844 3968 4496 7688 7936 8711 8992 15376 17422 17984 30752 34844 35968 61504 69688 71936 78961 123008 139376 157922 246016 270041 278752 315844 540082 557504 631688 1080164 1115008 1263376 2160328 2230016 2447791 2526752 4320656 4895582 5053504 8641312 9791164 10107008 17282624 19582328 20214016 34565248 39164656 69130496 75881521 78329312 151763042 156658624 303526084 313317248 607052168 626634496 1214104336 2428208672 4856417344 9712834688 19425669376