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23268481238784 = 283149379353609
BaseRepresentation
bin1010100101001100111011…
…00011110000011100000000
310001101110000110112211202110
411102212131203300130000
511022212322144120114
6121253220454215320
74621043441115255
oct522463543603400
9101343013484673
1023268481238784
117461120062221
122739707354540
13cca292a19872
145a62b426342c
152a53eeb5b759
hex15299d8f0700

23268481238784 has 144 divisors (see below), whose sum is σ = 62361317844000. Its totient is φ = 7701930835968.

The previous prime is 23268481238741. The next prime is 23268481238831. The reversal of 23268481238784 is 48783218486232.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434013772 + ... + 434067380.

It is an arithmetic number, because the mean of its divisors is an integer number (433064707250).

Almost surely, 223268481238784 is an apocalyptic number.

23268481238784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23268481238784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31180658922000).

23268481238784 is an abundant number, since it is smaller than the sum of its proper divisors (39092836605216).

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

23268481238784 is a wasteful number, since it uses less digits than its factorization.

23268481238784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57570 (or 57556 counting only the distinct ones).

The product of its digits is 198180864, while the sum is 66.

The spelling of 23268481238784 in words is "twenty-three trillion, two hundred sixty-eight billion, four hundred eighty-one million, two hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 596 768 894 1192 1788 2384 3576 3793 4768 7152 7586 9536 11379 14304 15172 19072 22758 28608 30344 38144 45516 53609 57216 60688 91032 107218 114432 121376 160827 182064 214436 242752 321654 364128 428872 485504 565157 643308 728256 857744 971008 1130314 1286616 1456512 1695471 1715488 2260628 2573232 2913024 3390942 3430976 4521256 5146464 6781884 6861952 7987741 9042512 10292928 13563768 13723904 15975482 18085024 20585856 23963223 27127536 31950964 36170048 41171712 47926446 54255072 63901928 72340096 95852892 108510144 127803856 144680192 191705784 203338937 217020288 255607712 383411568 406677874 434040576 511215424 610016811 766823136 813355748 1022430848 1220033622 1533646272 1626711496 2044861696 2440067244 3067292544 3253422992 4880134488 6134585088 6506845984 9760268976 13013691968 19520537952 26027383936 30297501613 39041075904 52054767872 60595003226 78082151808 90892504839 121190006452 156164303616 181785009678 242380012904 363570019356 484760025808 727140038712 969520051616 1454280077424 1939040103232 2908560154848 3878080206464 5817120309696 7756160412928 11634240619392 23268481238784