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13678605666 = 23211195961627
BaseRepresentation
bin11001011110100111…
…01111010101100010
31022022021201011102200
430233103233111202
5211003210340131
610141151554030
7662653141545
oct145723572542
938267634380
1013678605666
11588a241990
122798b2b916
13139cb6010b
1493a93485c
15550cea2e6
hex32f4ef562

13678605666 has 96 divisors (see below), whose sum is σ = 34610284800. Its totient is φ = 3860252640.

The previous prime is 13678605649. The next prime is 13678605679. The reversal of 13678605666 is 66650687631.

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, 191145 + ... + 252771.

It is an arithmetic number, because the mean of its divisors is an integer number (360523800).

Almost surely, 213678605666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13678605666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17305142400).

13678605666 is an abundant number, since it is smaller than the sum of its proper divisors (20931679134).

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

13678605666 is a wasteful number, since it uses less digits than its factorization.

13678605666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61724 (or 61721 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 13678605666 in words is "thirteen billion, six hundred seventy-eight million, six hundred five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 59 66 99 114 118 171 177 198 209 342 354 418 531 627 649 1062 1121 1254 1298 1881 1947 2242 3363 3762 3894 5841 6726 10089 11682 12331 20178 24662 36993 61627 73986 110979 123254 184881 221958 369762 554643 677897 1109286 1170913 1355794 2033691 2341826 3512739 3635993 4067382 6101073 7025478 7271986 10538217 10907979 12202146 12880043 21076434 21815958 25760086 32723937 38640129 39995923 65447874 69083867 77280258 79991846 115920387 119987769 138167734 207251601 231840774 239975538 359963307 414503202 621754803 719926614 759922537 1243509606 1519845074 2279767611 4559535222 6839302833 13678605666