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48063668112 = 2433712237027
BaseRepresentation
bin101100110000110100…
…010101111110010000
311121001122021022122000
4230300310111332100
51241413244334422
634025151114000
73321030303165
oct546064257620
9147048238560
1048063668112
1119424762269
129394512900
1346bc858105
14247d4ca06c
1513b48abcac
hexb30d15f90

48063668112 has 160 divisors (see below), whose sum is σ = 140551004160. Its totient is φ = 15722501760.

The previous prime is 48063668099. The next prime is 48063668113. The reversal of 48063668112 is 21186636084.

48063668112 is a `hidden beast` number, since 4 + 8 + 0 + 636 + 6 + 8 + 1 + 1 + 2 = 666.

It is a super-3 number, since 3×480636681123 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48063668113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6836343 + ... + 6843369.

It is an arithmetic number, because the mean of its divisors is an integer number (878443776).

Almost surely, 248063668112 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 48063668112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70275502080).

48063668112 is an abundant number, since it is smaller than the sum of its proper divisors (92487336048).

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

48063668112 is a wasteful number, since it uses less digits than its factorization.

48063668112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 48063668112 in words is "forty-eight billion, sixty-three million, six hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 108 142 144 213 216 223 284 426 432 446 568 639 669 852 892 1136 1278 1338 1704 1784 1917 2007 2556 2676 3408 3568 3834 4014 5112 5352 6021 7027 7668 8028 10224 10704 12042 14054 15336 15833 16056 21081 24084 28108 30672 31666 32112 42162 47499 48168 56216 63243 63332 84324 94998 96336 112432 126486 126664 142497 168648 189729 189996 252972 253328 284994 337296 379458 379992 427491 498917 505944 569988 758916 759984 854982 997834 1011888 1139976 1496751 1517832 1567021 1709964 1995668 2279952 2993502 3035664 3134042 3419928 3991336 4490253 4701063 5987004 6268084 6839856 7982672 8980506 9402126 11974008 12536168 13470759 14103189 17961012 18804252 23948016 25072336 26941518 28206378 35922024 37608504 42309567 53883036 56412756 71844048 75217008 84619134 107766072 111258491 112825512 169238268 215532144 222516982 225651024 333775473 338476536 445033964 667550946 676953072 890067928 1001326419 1335101892 1780135856 2002652838 2670203784 3003979257 4005305676 5340407568 6007958514 8010611352 12015917028 16021222704 24031834056 48063668112