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16860368268 = 22335315119507
BaseRepresentation
bin11111011001111010…
…01100110110001100
31121112000202110012000
433230331030312030
5234012223241033
611425012112300
71134546523422
oct175475146614
947460673160
1016860368268
117172269257
123326605690
1317890b4893
14b5d333112
1568a2e4a13
hex3ecf4cd8c

16860368268 has 96 divisors (see below), whose sum is σ = 44834065920. Its totient is φ = 5477284800.

The previous prime is 16860368209. The next prime is 16860368279. The reversal of 16860368268 is 86286306861.

16860368268 is a `hidden beast` number, since 1 + 6 + 8 + 603 + 6 + 8 + 26 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854571 + ... + 874077.

It is an arithmetic number, because the mean of its divisors is an integer number (467021520).

Almost surely, 216860368268 is an apocalyptic number.

16860368268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16860368268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22417032960).

16860368268 is an abundant number, since it is smaller than the sum of its proper divisors (27973697652).

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

16860368268 is a wasteful number, since it uses less digits than its factorization.

16860368268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19724 (or 19716 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 16860368268 in words is "sixteen billion, eight hundred sixty million, three hundred sixty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 151 159 212 302 318 453 477 604 636 906 954 1359 1431 1812 1908 2718 2862 4077 5436 5724 8003 8154 16006 16308 19507 24009 32012 39014 48018 58521 72027 78028 96036 117042 144054 175563 216081 234084 288108 351126 432162 526689 702252 864324 1033871 1053378 2067742 2106756 2945557 3101613 4135484 5891114 6203226 8836671 9304839 11782228 12406452 17673342 18609678 26510013 27914517 35346684 37219356 53020026 55829034 79530039 106040052 111658068 156114521 159060078 312229042 318120156 468343563 624458084 936687126 1405030689 1873374252 2810061378 4215092067 5620122756 8430184134 16860368268