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216464341704 = 233131016869267
BaseRepresentation
bin1100100110011001000…
…1111011101011001000
3202200201202211220100220
43021212101323223020
512021304332413304
6243235314030040
721432121355142
oct3114621735310
9680652756326
10216464341704
1183890528876
1235b51578320
1317549353bc0
14a6969a5c92
15596dadcad9
hex326647bac8

216464341704 has 64 divisors (see below), whose sum is σ = 588558882240. Its totient is φ = 65944953600.

The previous prime is 216464341697. The next prime is 216464341727. The reversal of 216464341704 is 407143464612.

216464341704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2164643417042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3403122 + ... + 3466145.

It is an arithmetic number, because the mean of its divisors is an integer number (9196232535).

Almost surely, 2216464341704 is an apocalyptic number.

216464341704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216464341704 is an abundant number, since it is smaller than the sum of its proper divisors (372094540536).

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

216464341704 is a wasteful number, since it uses less digits than its factorization.

216464341704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6869390 (or 6869386 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 216464341704 in words is "two hundred sixteen billion, four hundred sixty-four million, three hundred forty-one thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 156 202 303 312 404 606 808 1212 1313 2424 2626 3939 5252 7878 10504 15756 31512 6869267 13738534 20607801 27477068 41215602 54954136 82431204 89300471 164862408 178600942 267901413 357201884 535802826 693795967 714403768 1071605652 1387591934 2081387901 2143211304 2775183868 4162775802 5550367736 8325551604 9019347571 16651103208 18038695142 27058042713 36077390284 54116085426 72154780568 108232170852 216464341704