Search a number
-
+
4105721052 = 22322916723549
BaseRepresentation
bin1111010010111000…
…0101010011011100
3101121010122020110200
43310232011103130
531402031033202
61515223503500
7203513024136
oct36456052334
911533566420
104105721052
111817632aa4
12966bb7b90
135057b9254
142ad3d4056
151906a9e1c
hexf4b854dc

4105721052 has 72 divisors (see below), whose sum is σ = 10800972000. Its totient is φ = 1313413248.

The previous prime is 4105721041. The next prime is 4105721071. The reversal of 4105721052 is 2501275014.

4105721052 is a `hidden beast` number, since 41 + 0 + 572 + 1 + 0 + 52 = 666.

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 23 ways as a sum of consecutive naturals, for example, 162574 + ... + 186122.

It is an arithmetic number, because the mean of its divisors is an integer number (150013500).

Almost surely, 24105721052 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 4105721052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400486000).

4105721052 is an abundant number, since it is smaller than the sum of its proper divisors (6695250948).

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

4105721052 is a wasteful number, since it uses less digits than its factorization.

4105721052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23755 (or 23750 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 4105721052 is about 64075.9007115780. The cubic root of 4105721052 is about 1601.2647619515.

Adding to 4105721052 its reverse (2501275014), we get a palindrome (6606996066).

The spelling of 4105721052 in words is "four billion, one hundred five million, seven hundred twenty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 167 174 261 334 348 501 522 668 1002 1044 1503 2004 3006 4843 6012 9686 14529 19372 23549 29058 43587 47098 58116 70647 87174 94196 141294 174348 211941 282588 423882 682921 847764 1365842 2048763 2731684 3932683 4097526 6146289 7865366 8195052 11798049 12292578 15730732 23596098 24585156 35394147 47192196 70788294 114047807 141576588 228095614 342143421 456191228 684286842 1026430263 1368573684 2052860526 4105721052