Search a number
-
+
14853569536 = 21013285831
BaseRepresentation
bin11011101010101011…
…10111110000000000
31102100011121111212001
431311111313300000
5220410003211121
610453523313344
71034041154311
oct156525676000
942304544761
1014853569536
1163324a8703
122a6651b854
1315293c9b00
14a0c9c8608
155be03c991
hex375577c00

14853569536 has 66 divisors (see below), whose sum is σ = 32152753032. Its totient is φ = 6855413760.

The previous prime is 14853569519. The next prime is 14853569543. The reversal of 14853569536 is 63596535841.

14853569536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×148535695363 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 130141 + ... + 215971.

Almost surely, 214853569536 is an apocalyptic number.

14853569536 is a gapful number since it is divisible by the number (16) 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 14853569536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16076376516).

14853569536 is an abundant number, since it is smaller than the sum of its proper divisors (17299183496).

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

14853569536 is an equidigital number, since it uses as much as digits as its factorization.

14853569536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85877 (or 85846 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 55.

The spelling of 14853569536 in words is "fourteen billion, eight hundred fifty-three million, five hundred sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2704 3328 5408 6656 10816 13312 21632 43264 85831 86528 171662 173056 343324 686648 1115803 1373296 2231606 2746592 4463212 5493184 8926424 10986368 14505439 17852848 21972736 29010878 35705696 43945472 58021756 71411392 87890944 116043512 142822784 232087024 285645568 464174048 571291136 928348096 1142582272 1856696192 3713392384 7426784768 14853569536