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3105799164 = 22321312135471
BaseRepresentation
bin1011100100011110…
…1011101111111100
322000110002221111200
42321013223233330
522330041033124
61232104015500
7136651600026
oct27107535774
98013087450
103105799164
111354162976
12728161590
133a65a87b0
142166a7016
151329e1bc9
hexb91ebbfc

3105799164 has 72 divisors (see below), whose sum is σ = 8463192192. Its totient is φ = 954668160.

The previous prime is 3105799111. The next prime is 3105799171. The reversal of 3105799164 is 4619975013.

3105799164 is a `hidden beast` number, since 3 + 10 + 579 + 9 + 1 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 564949 + ... + 570419.

It is an arithmetic number, because the mean of its divisors is an integer number (117544336).

Almost surely, 23105799164 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 3105799164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231596096).

3105799164 is an abundant number, since it is smaller than the sum of its proper divisors (5357393028).

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

3105799164 is a wasteful number, since it uses less digits than its factorization.

3105799164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 3105799164 is about 55729.6973255732. The cubic root of 3105799164 is about 1459.0083909068.

The spelling of 3105799164 in words is "three billion, one hundred five million, seven hundred ninety-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1213 2426 3639 4852 5471 7278 10917 10942 14556 15769 16413 21834 21884 31538 32826 43668 47307 49239 63076 65652 71123 94614 98478 141921 142246 189228 196956 213369 283842 284492 426738 567684 640107 853476 1280214 2560428 6636323 13272646 19908969 26545292 39817938 59726907 79635876 86272199 119453814 172544398 238907628 258816597 345088796 517633194 776449791 1035266388 1552899582 3105799164