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5005168980 = 2235721156479
BaseRepresentation
bin1001010100101010…
…01101000101010100
3110220211002221001220
410222111031011110
540222310401410
62144354050340
7235014143250
oct45225150524
913824087056
105005168980
112139318599
12b782799b0
13619c4b566
14356a49260
151e4628070
hex12a54d154

5005168980 has 96 divisors (see below), whose sum is σ = 16092733440. Its totient is φ = 1138596480.

The previous prime is 5005168967. The next prime is 5005169009. The reversal of 5005168980 is 898615005.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 60381 + ... + 116859.

It is an arithmetic number, because the mean of its divisors is an integer number (167632640).

Almost surely, 25005168980 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 5005168980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046366720).

5005168980 is an abundant number, since it is smaller than the sum of its proper divisors (11087564460).

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

5005168980 is a wasteful number, since it uses less digits than its factorization.

5005168980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56709 (or 56707 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 5005168980 is about 70747.2188852679. The cubic root of 5005168980 is about 1710.5649991679.

The spelling of 5005168980 in words is "five billion, five million, one hundred sixty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 211 420 422 633 844 1055 1266 1477 2110 2532 2954 3165 4220 4431 5908 6330 7385 8862 12660 14770 17724 22155 29540 44310 56479 88620 112958 169437 225916 282395 338874 395353 564790 677748 790706 847185 1129580 1186059 1581412 1694370 1976765 2372118 3388740 3953530 4744236 5930295 7907060 11860590 11917069 23721180 23834138 35751207 47668276 59585345 71502414 83419483 119170690 143004828 166838966 178756035 238341380 250258449 333677932 357512070 417097415 500516898 715024140 834194830 1001033796 1251292245 1668389660 2502584490 5005168980