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14332478568 = 2334116998573
BaseRepresentation
bin11010101100100100…
…00100010001101000
31100222212002100102120
431112102010101220
5213323103303233
610330110431240
71015113025542
oct152622042150
940885070376
1014332478568
116095346311
12293bb02520
13147546bb65
1499d702692
1558d40a4b3
hex356484468

14332478568 has 64 divisors (see below), whose sum is σ = 36731016000. Its totient is φ = 4657681920.

The previous prime is 14332478549. The next prime is 14332478569. The reversal of 14332478568 is 86587423341.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14332478568.

It is not an unprimeable number, because it can be changed into a prime (14332478569) 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 15 ways as a sum of consecutive naturals, for example, 1667530 + ... + 1676102.

It is an arithmetic number, because the mean of its divisors is an integer number (573922125).

Almost surely, 214332478568 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 14332478568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18365508000).

14332478568 is an abundant number, since it is smaller than the sum of its proper divisors (22398537432).

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

14332478568 is a wasteful number, since it uses less digits than its factorization.

14332478568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10322 (or 10318 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 14332478568 in words is "fourteen billion, three hundred thirty-two million, four hundred seventy-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1699 3398 5097 6796 8573 10194 13592 17146 20388 25719 34292 40776 51438 68584 69659 102876 139318 205752 208977 278636 351493 417954 557272 702986 835908 1054479 1405972 1671816 2108958 2811944 4217916 8435832 14565527 29131054 43696581 58262108 87393162 116524216 174786324 349572648 597186607 1194373214 1791559821 2388746428 3583119642 4777492856 7166239284 14332478568