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5013104334160 = 24513101320992267
BaseRepresentation
bin100100011110011010001…
…0011011001010101010000
3122202020200212020021102211
41020330310103121111100
51124113314202143120
614354553251521504
71025120253523036
oct110746423312520
918666625207384
105013104334160
11166305578379a
1268b6a65b9294
132a496cc66450
141348c7d10556
158a607dd225a
hex48f344d9550

5013104334160 has 160 divisors (see below), whose sum is σ = 12575963836800. Its totient is φ = 1847468857344.

The previous prime is 5013104334151. The next prime is 5013104334167. The reversal of 5013104334160 is 614334013105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5013104334167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2211337347 + ... + 2211339613.

It is an arithmetic number, because the mean of its divisors is an integer number (78599773980).

Almost surely, 25013104334160 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 5013104334160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287981918400).

5013104334160 is an abundant number, since it is smaller than the sum of its proper divisors (7562859502640).

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

5013104334160 is a wasteful number, since it uses less digits than its factorization.

5013104334160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 5013104334160 its reverse (614334013105), we get a palindrome (5627438347265).

The spelling of 5013104334160 in words is "five trillion, thirteen billion, one hundred four million, three hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1013 1040 2026 2099 2267 4052 4198 4534 5065 8104 8396 9068 10130 10495 11335 13169 16208 16792 18136 20260 20990 22670 26338 27287 29471 33584 36272 40520 41980 45340 52676 54574 58942 65845 81040 83960 90680 105352 109148 117884 131690 136435 147355 167920 181360 210704 218296 235768 263380 272870 294710 436592 471536 526760 545740 589420 1053520 1091480 1178840 2126287 2182960 2296471 2357680 4252574 4592942 4758433 8505148 9185884 9516866 10631435 11482355 17010296 18371768 19033732 21262870 22964710 23792165 27641731 29854123 34020592 36743536 38067464 42525740 45929420 47584330 55283462 59708246 61859629 76134928 85051480 91858840 95168660 110566924 119416492 123719258 138208655 149270615 170102960 183717680 190337320 221133848 238832984 247438516 276417310 298541230 309298145 380674640 442267696 477665968 494877032 552834620 597082460 618596290 989754064 1105669240 1194164920 1237192580 2211338480 2388329840 2474385160 4820292629 4948770320 9640585258 19281170516 24101463145 38562341032 48202926290 62663804177 77124682064 96405852580 125327608354 192811705160 250655216708 313319020885 385623410320 501310433416 626638041770 1002620866832 1253276083540 2506552167080 5013104334160