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4105017108 = 2232199761871
BaseRepresentation
bin1111010010101101…
…1001011100010100
3101121002022110211200
43310223121130110
531401341021413
61515200432500
7203504032623
oct36453313424
911532273750
104105017108
1118171a2125
12966918730
13505600a0a
142ad28d6ba
151905bb573
hexf4ad9714

4105017108 has 72 divisors (see below), whose sum is σ = 11035489920. Its totient is φ = 1282936320.

The previous prime is 4105017041. The next prime is 4105017139. The reversal of 4105017108 is 8017105014.

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, 35413 + ... + 97283.

Almost surely, 24105017108 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 4105017108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517744960).

4105017108 is an abundant number, since it is smaller than the sum of its proper divisors (6930472812).

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

4105017108 is a wasteful number, since it uses less digits than its factorization.

4105017108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61997 (or 61992 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 4105017108 is about 64070.4074280787. The cubic root of 4105017108 is about 1601.1732420833.

The spelling of 4105017108 in words is "four billion, one hundred five million, seventeen thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 97 114 171 194 228 291 342 388 582 684 873 1164 1746 1843 3492 3686 5529 7372 11058 16587 22116 33174 61871 66348 123742 185613 247484 371226 556839 742452 1113678 1175549 2227356 2351098 3526647 4702196 6001487 7053294 10579941 12002974 14106588 18004461 21159882 24005948 36008922 42319764 54013383 72017844 108026766 114028253 216053532 228056506 342084759 456113012 684169518 1026254277 1368339036 2052508554 4105017108