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5005075174484 = 22721123736913697
BaseRepresentation
bin100100011010101010110…
…1110100101010001010100
3122201110222021221200222112
41020311111232211101110
51124000343221040414
614351144431050152
71024414300014200
oct110652556452124
918643867850875
105005075174484
11165a7054aa240
1268a025670958
132a3c906839a8
14134365815b00
158a2d8076d3e
hex48d55ba5454

5005075174484 has 144 divisors (see below), whose sum is σ = 11600855925120. Its totient is φ = 1864856125440.

The previous prime is 5005075174459. The next prime is 5005075174523. The reversal of 5005075174484 is 4844715705005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365407124 + ... + 365420820.

It is an arithmetic number, because the mean of its divisors is an integer number (80561499480).

Almost surely, 25005075174484 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 5005075174484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800427962560).

5005075174484 is an abundant number, since it is smaller than the sum of its proper divisors (6595780750636).

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

5005075174484 is a wasteful number, since it uses less digits than its factorization.

5005075174484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21118 (or 21109 counting only the distinct ones).

The product of its (nonzero) digits is 3136000, while the sum is 50.

The spelling of 5005075174484 in words is "five trillion, five billion, seventy-five million, one hundred seventy-four thousand, four hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 49 77 92 98 154 161 196 253 308 322 506 539 644 1012 1078 1127 1771 2156 2254 3542 4508 7084 7369 12397 13697 14738 24794 27394 29476 49588 51583 54788 81059 95879 103166 150667 162118 169487 191758 206332 301334 315031 324236 338974 361081 383516 567413 602668 630062 671153 677948 722162 1054669 1134826 1186409 1260124 1342306 1444324 1864357 2109338 2205217 2269652 2372818 2684612 3465341 3728714 3971891 4218676 4410434 4745636 6930682 7382683 7457428 7943782 8304863 8820868 13050499 13861364 14765366 15436519 15887564 16609726 24257387 26100998 29530732 30873038 33219452 48514774 52201996 61746076 91353493 97029548 100933193 169801709 182706986 201866386 339603418 365413972 403732772 679206836 706532351 1110265123 1413064702 2220530246 2321463439 2826129404 4441060492 4642926878 4945726457 7771855861 9285853756 9891452914 15543711722 16250244073 19782905828 25536097829 31087423444 32500488146 51072195658 54402991027 65000976292 102144391316 108805982054 113751708511 178752684803 217611964108 227503417022 357505369606 455006834044 715010739212 1251268793621 2502537587242 5005075174484