Search a number
-
+
14747645712 = 2434773149601
BaseRepresentation
bin11011011110000011…
…10011011100010000
31102001210022000200110
431233001303130100
5220200344130322
610435221121320
71031313630432
oct155701633420
942053260613
1014747645712
116288730558
122a36b59240
131510490ba7
149dc8d4652
155b4ab7c0c
hex36f073710

14747645712 has 160 divisors (see below), whose sum is σ = 39772454400. Its totient is φ = 4705689600.

The previous prime is 14747645699. The next prime is 14747645749. The reversal of 14747645712 is 21754674741.

It is a happy number.

14747645712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 24538212 + ... + 24538812.

It is an arithmetic number, because the mean of its divisors is an integer number (248577840).

Almost surely, 214747645712 is an apocalyptic number.

14747645712 is a gapful number since it is divisible by the number (12) 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 14747645712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19886227200).

14747645712 is an abundant number, since it is smaller than the sum of its proper divisors (25024808688).

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

14747645712 is a wasteful number, since it uses less digits than its factorization.

14747645712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 875 counting only the distinct ones).

The product of its digits is 1317120, while the sum is 48.

The spelling of 14747645712 in words is "fourteen billion, seven hundred forty-seven million, six hundred forty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 73 94 141 146 149 188 219 282 292 298 376 438 447 564 584 596 601 752 876 894 1128 1168 1192 1202 1752 1788 1803 2256 2384 2404 3431 3504 3576 3606 4808 6862 7003 7152 7212 9616 10293 10877 13724 14006 14424 20586 21009 21754 27448 28012 28247 28848 32631 41172 42018 43508 43873 54896 56024 56494 65262 82344 84036 84741 87016 87746 89549 112048 112988 130524 131619 164688 168072 169482 174032 175492 179098 225976 261048 263238 268647 336144 338964 350984 358196 451952 511219 522096 526476 537294 677928 701968 716392 1022438 1052952 1074588 1355856 1432784 1533657 2044876 2062031 2105904 2149176 3067314 4089752 4124062 4208803 4298352 6134628 6186093 6537077 8179504 8248124 8417606 12269256 12372186 12626409 13074154 16496248 16835212 19611231 24538512 24744372 25252818 26148308 32992496 33670424 39222462 49488744 50505636 52296616 67340848 78444924 98977488 101011272 104593232 156889848 202022544 307242619 313779696 614485238 921727857 1228970476 1843455714 2457940952 3686911428 4915881904 7373822856 14747645712