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5010174908964 = 223259263232
BaseRepresentation
bin100100011101000010110…
…1100100001101000100100
3122201222010201000001112100
41020322011230201220210
51124041314234041324
614353350444052100
71024654543026561
oct110720554415044
918658121001470
105010174908964
111661892137235
1268b009534030
132a45c4092264
141346cac39868
158a4d5b2e4c9
hex48e85b21a24

5010174908964 has 81 divisors (see below), whose sum is σ = 12884939182843. Its totient is φ = 1641492582384.

The previous prime is 5010174908941. The next prime is 5010174908969. The reversal of 5010174908964 is 4698094710105.

The square root of 5010174908964 is 2238342.

It is a perfect power (a square), and thus also a powerful number.

5010174908964 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 17 + 490 + 89 + 64 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5010174908964.

It is not an unprimeable number, because it can be changed into a prime (5010174908969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 792369907 + ... + 792376229.

Almost surely, 25010174908964 is an apocalyptic number.

5010174908964 is the 2238342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5010174908964

5010174908964 is an abundant number, since it is smaller than the sum of its proper divisors (7874764273879).

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

5010174908964 is an frugal number, since it uses more digits than its factorization.

5010174908964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12774 (or 6387 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 5010174908964 in words is "five trillion, ten billion, one hundred seventy-four million, nine hundred eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 3481 6323 6962 10443 12646 13924 18969 20886 25292 31329 37938 41772 56907 62658 75876 113814 125316 227628 373057 746114 1119171 1492228 2238342 3357513 4476684 6715026 13430052 22010363 39980329 44020726 66031089 79960658 88041452 119940987 132062178 159921316 198093267 239881974 264124356 359822961 396186534 479763948 719645922 792373068 1439291844 2358839411 4717678822 7076518233 9435357644 14153036466 21229554699 28306072932 42459109398 84918218796 139171525249 278343050498 417514575747 556686100996 835029151494 1252543727241 1670058302988 2505087454482 5010174908964