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5468923440 = 2433523110083
BaseRepresentation
bin1010001011111100…
…10010011000110000
3112010010202002121000
411011332102120300
542200021022230
62302402002000
7252345040131
oct50576223060
915103662530
105468923440
112357079142
121087646300
13692052996
1439c487c88
152201d1b60
hex145f92630

5468923440 has 160 divisors (see below), whose sum is σ = 19656599040. Its totient is φ = 1394959104.

The previous prime is 5468923433. The next prime is 5468923451. The reversal of 5468923440 is 443298645.

5468923440 is a `hidden beast` number, since 546 + 89 + 23 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5362 + ... + 104721.

It is an arithmetic number, because the mean of its divisors is an integer number (122853744).

Almost surely, 25468923440 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 5468923440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9828299520).

5468923440 is an abundant number, since it is smaller than the sum of its proper divisors (14187675600).

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

5468923440 is a wasteful number, since it uses less digits than its factorization.

5468923440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110128 (or 110116 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 5468923440 is about 73952.1699478791. The cubic root of 5468923440 is about 1761.8433080916.

The spelling of 5468923440 in words is "five billion, four hundred sixty-eight million, nine hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1080 1104 1242 1380 1656 1840 2070 2160 2484 2760 3105 3312 4140 4968 5520 6210 8280 9936 12420 16560 24840 49680 110083 220166 330249 440332 550415 660498 880664 990747 1100830 1320996 1651245 1761328 1981494 2201660 2531909 2641992 2972241 3302490 3962988 4403320 4953735 5063818 5283984 5944482 6604980 7595727 7925976 8806640 9907470 10127636 11888964 12659545 13209960 14861205 15191454 15851952 19814940 20255272 22787181 23777928 25319090 26419920 29722410 30382908 37978635 39629880 40510544 45574362 47555856 50638180 59444820 60765816 68361543 75957270 79259760 91148724 101276360 113935905 118889640 121531632 136723086 151914540 182297448 202552720 227871810 237779280 273446172 303829080 341807715 364594896 455743620 546892344 607658160 683615430 911487240 1093784688 1367230860 1822974480 2734461720 5468923440