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5164057668 = 22372117310937
BaseRepresentation
bin1001100111100110…
…10100010001000100
3111022220002022101010
410303303110101010
541033444321133
62212231402220
7241653523500
oct46363242104
914286068333
105164057668
11220aa80a60
121001523370
13643b40233
1436dba9300
15203561263
hex133cd4444

5164057668 has 144 divisors (see below), whose sum is σ = 15501858624. Its totient is φ = 1322818560.

The previous prime is 5164057651. The next prime is 5164057669. The reversal of 5164057668 is 8667504615.

It is not an unprimeable number, because it can be changed into a prime (5164057669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 466696 + ... + 477632.

It is an arithmetic number, because the mean of its divisors is an integer number (107651796).

Almost surely, 25164057668 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 5164057668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7750929312).

5164057668 is an abundant number, since it is smaller than the sum of its proper divisors (10337800956).

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

5164057668 is a wasteful number, since it uses less digits than its factorization.

5164057668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11042 (or 11033 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 5164057668 is about 71861.3781387471. The cubic root of 5164057668 is about 1728.4773562772.

The spelling of 5164057668 in words is "five billion, one hundred sixty-four million, fifty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 73 77 84 98 132 146 147 154 196 219 231 292 294 308 438 462 511 539 588 803 876 924 1022 1078 1533 1606 1617 2044 2156 2409 3066 3212 3234 3577 4818 5621 6132 6468 7154 9636 10731 10937 11242 14308 16863 21462 21874 22484 32811 33726 39347 42924 43748 65622 67452 76559 78694 118041 120307 131244 153118 157388 229677 236082 240614 306236 360921 459354 472164 481228 535913 721842 798401 842149 918708 1071826 1443684 1596802 1607739 1684298 2143652 2395203 2526447 3193604 3215478 3368596 4790406 5052894 5588807 5895043 6430956 8782411 9580812 10105788 11177614 11790086 16766421 17564822 17685129 22355228 23580172 26347233 33532842 35129644 35370258 39121649 52694466 61476877 67065684 70740516 78243298 105388932 117364947 122953754 156486596 184430631 234729894 245907508 368861262 430338139 469459788 737722524 860676278 1291014417 1721352556 2582028834 5164057668