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5006411675874 = 234753478717401
BaseRepresentation
bin100100011011010010101…
…1000111011100011100010
3122201121102102211000020000
41020312211120323203202
51124011112342111444
614351525213000430
71024462356051540
oct110664530734342
918647372730200
105006411675874
111660230968544
1268a339183116
132a414452bc0b
14134451118d90
158a365577469
hex48da563b8e2

5006411675874 has 160 divisors (see below), whose sum is σ = 13066030809216. Its totient is φ = 1403040787200.

The previous prime is 5006411675819. The next prime is 5006411675899. The reversal of 5006411675874 is 4785761146005.

5006411675874 is a `hidden beast` number, since 5 + 0 + 0 + 6 + 41 + 16 + 7 + 587 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 5006411675874.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 287699574 + ... + 287716974.

Almost surely, 25006411675874 is an apocalyptic number.

5006411675874 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006411675874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533015404608).

5006411675874 is an abundant number, since it is smaller than the sum of its proper divisors (8059619133342).

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

5006411675874 is a wasteful number, since it uses less digits than its factorization.

5006411675874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22262 (or 22253 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 5006411675874 in words is "five trillion, six billion, four hundred eleven million, six hundred seventy-five thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 81 106 126 159 162 189 318 371 378 477 567 742 954 1113 1134 1431 2226 2862 3339 4293 4787 6678 8586 9574 10017 14361 17401 20034 28722 30051 33509 34802 43083 52203 60102 67018 86166 100527 104406 121807 129249 156609 201054 243614 253711 258498 301581 313218 365421 387747 469827 507422 603162 730842 761133 775494 904743 922253 939654 1096263 1409481 1522266 1775977 1809486 1844506 2192526 2283399 2714229 2766759 2818962 3288789 3551954 4566798 5327931 5428458 5533518 6455771 6577578 6850197 8300277 9866367 10655862 12911542 13700394 15983793 16600554 19367313 19732734 20550591 24900831 31967586 38734626 41101182 47951379 49801662 58101939 74702493 83298587 95902758 116203878 143854137 149404986 166597174 174305817 249895761 287708274 348611634 499791522 522917451 583090109 749687283 1045834902 1166180218 1499374566 1749270327 2249061849 3498540654 4414825111 4498123698 5247810981 6747185547 8829650222 10495621962 13244475333 13494371094 15743432943 26488950666 30903775777 31486865886 39733425999 47230298829 61807551554 79466851998 92711327331 94460597658 119200277997 185422654662 238400555994 278133981993 357600833991 556267963986 715201667982 834401945979 1668803891958 2503205837937 5006411675874