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41662653216 = 2534354718451
BaseRepresentation
bin100110110011010010…
…011010001100100000
310222112112122001221020
4212303102122030200
51140311114400331
631050051125440
73003303465162
oct466322321440
9128475561836
1041662653216
111673a533008
1280a88a3880
133c0c683b32
142033330932
15113c95ec96
hex9b349a320

41662653216 has 96 divisors (see below), whose sum is σ = 112118485248. Its totient is φ = 13539052800.

The previous prime is 41662653113. The next prime is 41662653223. The reversal of 41662653216 is 61235626614.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2248791 + ... + 2267241.

It is an arithmetic number, because the mean of its divisors is an integer number (1167900888).

Almost surely, 241662653216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41662653216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56059242624).

41662653216 is an abundant number, since it is smaller than the sum of its proper divisors (70455832032).

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

41662653216 is a wasteful number, since it uses less digits than its factorization.

41662653216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19054 (or 19046 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 41662653216 in words is "forty-one billion, six hundred sixty-two million, six hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 547 688 1032 1094 1376 1641 2064 2188 3282 4128 4376 6564 8752 13128 17504 18451 23521 26256 36902 47042 52512 55353 70563 73804 94084 110706 141126 147608 188168 221412 282252 295216 376336 442824 564504 590432 752672 793393 885648 1129008 1586786 1771296 2258016 2380179 3173572 4760358 6347144 9520716 10092697 12694288 19041432 20185394 25388576 30278091 38082864 40370788 60556182 76165728 80741576 121112364 161483152 242224728 322966304 433985971 484449456 867971942 968898912 1301957913 1735943884 2603915826 3471887768 5207831652 6943775536 10415663304 13887551072 20831326608 41662653216