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5164404168 = 2337119972803
BaseRepresentation
bin1001100111101001…
…01000110111001000
3111022220201220200110
410303310220313020
541034041413133
62212243034320
7241656465630
oct46364506710
914286656613
105164404168
112210198320
12100166b9a0
13643c31b71
1436dc596c0
152035cdc63
hex133d28dc8

5164404168 has 128 divisors (see below), whose sum is σ = 16118737920. Its totient is φ = 1339580160.

The previous prime is 5164404163. The next prime is 5164404169. The reversal of 5164404168 is 8614044615.

It is not an unprimeable number, because it can be changed into a prime (5164404163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1841055 + ... + 1843857.

It is an arithmetic number, because the mean of its divisors is an integer number (125927640).

Almost surely, 25164404168 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 5164404168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8059368960).

5164404168 is an abundant number, since it is smaller than the sum of its proper divisors (10954333752).

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

5164404168 is a wasteful number, since it uses less digits than its factorization.

5164404168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 5164404168 is about 71863.7889900053. The cubic root of 5164404168 is about 1728.5160147668.

The spelling of 5164404168 in words is "five billion, one hundred sixty-four million, four hundred four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 997 1848 1994 2803 2991 3988 5606 5982 6979 7976 8409 10967 11212 11964 13958 16818 19621 20937 21934 22424 23928 27916 30833 32901 33636 39242 41874 43868 55832 58863 61666 65802 67272 76769 78484 83748 87736 92499 117726 123332 131604 153538 156968 167496 184998 215831 230307 235452 246664 263208 307076 369996 431662 460614 470904 614152 647493 739992 863324 921228 1294986 1726648 1842456 2589972 2794591 5179944 5589182 8383773 11178364 16767546 19562137 22356728 30740501 33535092 39124274 58686411 61481002 67070184 78248548 92221503 117372822 122962004 156497096 184443006 215183507 234745644 245924008 368886012 430367014 469491288 645550521 737772024 860734028 1291101042 1721468056 2582202084 5164404168