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14516224912 = 24727123673
BaseRepresentation
bin11011000010011110…
…00000001110010000
31101110122211122000201
431201033000032100
5214212123144122
610400233024544
71022503606300
oct154117001620
941418748021
1014516224912
11617a0376a2
122991555154
1314a4554cc7
149b9c93600
1559e603a27
hex3613c0390

14516224912 has 90 divisors (see below), whose sum is σ = 33193381254. Its totient is φ = 6131946240.

The previous prime is 14516224883. The next prime is 14516224913. The reversal of 14516224912 is 21942261541.

It can be written as a sum of positive squares in only one way, i.e., 9105739776 + 5410485136 = 95424^2 + 73556^2 .

It is not an unprimeable number, because it can be changed into a prime (14516224913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3950308 + ... + 3953980.

Almost surely, 214516224912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14516224912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16596690627).

14516224912 is an abundant number, since it is smaller than the sum of its proper divisors (18677156342).

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

14516224912 is an equidigital number, since it uses as much as digits as its factorization.

14516224912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3753 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The spelling of 14516224912 in words is "fourteen billion, five hundred sixteen million, two hundred twenty-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 112 142 196 284 392 497 568 784 994 1136 1988 3479 3673 3976 5041 6958 7346 7952 10082 13916 14692 20164 25711 27832 29384 35287 40328 51422 55664 58768 70574 80656 102844 141148 179977 205688 247009 260783 282296 359954 411376 494018 521566 564592 719908 988036 1043132 1439816 1825481 1976072 2086264 2879632 3650962 3952144 4172528 7301924 12778367 14603848 18515593 25556734 29207696 37031186 51113468 74062372 102226936 129609151 148124744 204453872 259218302 296249488 518436604 907264057 1036873208 1814528114 2073746416 3629056228 7258112456 14516224912