Search a number
-
+
16105132832 = 252954731727
BaseRepresentation
bin11101111111111000…
…01101001100100000
31112120101122111221012
432333330031030200
5230440403222312
611222032520052
71110046241015
oct167774151440
945511574835
1016105132832
116914a22738
1231556b0028
1316987a60c9
14acacdb70c
15643d61322
hex3bff0d320

16105132832 has 48 divisors (see below), whose sum is σ = 32861324160. Its totient is φ = 7760433408.

The previous prime is 16105132829. The next prime is 16105132837. The reversal of 16105132832 is 23823150161.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (16105132837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491753 + ... + 523479.

It is an arithmetic number, because the mean of its divisors is an integer number (684610920).

Almost surely, 216105132832 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 16105132832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16430662080).

16105132832 is an abundant number, since it is smaller than the sum of its proper divisors (16756191328).

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

16105132832 is a wasteful number, since it uses less digits than its factorization.

16105132832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32313 (or 32305 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

16105132832 divided by its sum of digits (32) gives a triangular number (503285401 = T31726).

Adding to 16105132832 its reverse (23823150161), we get a palindrome (39928282993).

The spelling of 16105132832 in words is "sixteen billion, one hundred five million, one hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 547 928 1094 2188 4376 8752 15863 17504 31726 31727 63452 63454 126904 126908 253808 253816 507616 507632 920083 1015264 1840166 3680332 7360664 14721328 17354669 29442656 34709338 69418676 138837352 277674704 503285401 555349408 1006570802 2013141604 4026283208 8052566416 16105132832