Search a number
-
+
16003225632 = 253223974453
BaseRepresentation
bin11101110011101110…
…11101100000100000
31112022021220002112110
432321313131200200
5230233311210012
611203552355320
71104401113332
oct167167354040
945267802473
1016003225632
116872449309
123127545b40
1316806454a4
14abb571452
15639e3173c
hex3b9ddd820

16003225632 has 48 divisors (see below), whose sum is σ = 42027793920. Its totient is φ = 5331954432.

The previous prime is 16003225613. The next prime is 16003225633. The reversal of 16003225632 is 23652230061.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×160032256323 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 16003225632.

It is not an unprimeable number, because it can be changed into a prime (16003225633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177718 + ... + 252170.

It is an arithmetic number, because the mean of its divisors is an integer number (875579040).

Almost surely, 216003225632 is an apocalyptic number.

16003225632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16003225632 is an abundant number, since it is smaller than the sum of its proper divisors (26024568288).

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

16003225632 is a wasteful number, since it uses less digits than its factorization.

16003225632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76705 (or 76697 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 16003225632 its reverse (23652230061), we get a palindrome (39655455693).

The spelling of 16003225632 in words is "sixteen billion, three million, two hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2239 4478 6717 8956 13434 17912 26868 35824 53736 71648 74453 107472 148906 214944 223359 297812 446718 595624 893436 1191248 1786872 2382496 3573744 7147488 166700267 333400534 500100801 666801068 1000201602 1333602136 2000403204 2667204272 4000806408 5334408544 8001612816 16003225632