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104868614466 = 23371127899043
BaseRepresentation
bin110000110101010101…
…0000001000101000010
3101000200110210120202000
41201222222001011002
53204232331130331
6120102002204430
710401512341530
oct1415252010502
9330613716660
10104868614466
1140524665220
12183a8353716
139b73388cc5
14510b8c1150
152adb88c0e6
hex186aa81142

104868614466 has 128 divisors (see below), whose sum is σ = 290681395200. Its totient is φ = 27225823680.

The previous prime is 104868614429. The next prime is 104868614503. The reversal of 104868614466 is 664416868401.

104868614466 is a `hidden beast` number, since 1 + 0 + 486 + 8 + 61 + 44 + 66 = 666.

It is an interprime number because it is at equal distance from previous prime (104868614429) and next prime (104868614503).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11592141 + ... + 11601183.

It is an arithmetic number, because the mean of its divisors is an integer number (2270948400).

Almost surely, 2104868614466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104868614466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145340697600).

104868614466 is an abundant number, since it is smaller than the sum of its proper divisors (185812780734).

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

104868614466 is a wasteful number, since it uses less digits than its factorization.

104868614466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11861 (or 11855 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 104868614466 in words is "one hundred four billion, eight hundred sixty-eight million, six hundred fourteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 2789 4158 5578 8367 9043 16734 18086 19523 25101 27129 30679 39046 50202 54258 58569 61358 63301 75303 81387 92037 99473 117138 126602 150606 162774 175707 184074 189903 198946 214753 244161 276111 298419 351414 379806 429506 488322 527121 552222 569709 596838 644259 696311 828333 895257 1054242 1139418 1288518 1392622 1656666 1709127 1790514 1932777 2088933 2685771 3418254 3865554 4177866 5371542 5798331 6266799 11596662 12533598 18800397 25220927 37600794 50441854 75662781 151325562 176546489 226988343 277430197 353092978 453976686 529639467 554860394 680965029 832290591 1059278934 1361930058 1588918401 1664581182 1942011379 2496871773 3177836802 3884022758 4766755203 4993743546 5826034137 7490615319 9533510406 11652068274 14981230638 17478102411 34956204822 52434307233 104868614466