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19392233536 = 261341032
BaseRepresentation
bin10010000011110111…
…100000000001000000
31212001110220112101201
4102003313200001000
5304203402433121
612524134510544
71254362160004
oct220367400100
955043815351
1019392233536
118251457095
123912505454
131aa07c0000
14d1d6ba704
15787716e91
hex483de0040

19392233536 has 105 divisors (see below), whose sum is σ = 42096808491. Its totient is φ = 8863365888.

The previous prime is 19392233521. The next prime is 19392233537. The reversal of 19392233536 is 63533229391.

The square root of 19392233536 is 139256.

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

It can be written as a sum of positive squares in 2 ways, for example, as 9614979136 + 9777254400 = 98056^2 + 98880^2 .

It is a Duffinian number.

Its product of digits (787320) is a multiple of the sum of its prime factors (270).

It is not an unprimeable number, because it can be changed into a prime (19392233537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 188274061 + ... + 188274163.

Almost surely, 219392233536 is an apocalyptic number.

19392233536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19392233536 is the 139256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19392233536

19392233536 is an abundant number, since it is smaller than the sum of its proper divisors (22704574955).

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

19392233536 is an frugal number, since it uses more digits than its factorization.

19392233536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 118 counting only the distinct ones).

The product of its digits is 787320, while the sum is 46.

The spelling of 19392233536 in words is "nineteen billion, three hundred ninety-two million, two hundred thirty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 169 206 208 338 412 416 676 824 832 1339 1352 1648 2197 2678 2704 3296 4394 5356 5408 6592 8788 10609 10712 10816 17407 17576 21218 21424 28561 34814 35152 42436 42848 57122 69628 70304 84872 85696 114244 137917 139256 140608 169744 226291 228488 275834 278512 339488 452582 456976 551668 557024 678976 905164 913952 1103336 1114048 1792921 1810328 1827904 2206672 2941783 3585842 3620656 4413344 5883566 7171684 7241312 8826688 11767132 14343368 14482624 23307973 23534264 28686736 46615946 47068528 57373472 93231892 94137056 114746944 186463784 188274112 303003649 372927568 606007298 745855136 1212014596 1491710272 2424029192 4848058384 9696116768 19392233536