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2166101615616 = 21033359209917
BaseRepresentation
bin11111100001010101101…
…101111010010000000000
321200002002100100012001120
4133201111231322100000
5240442134003144431
64335032055032240
7312332005641051
oct37412555722000
97602070305046
102166101615616
1176570298a084
122ab97b06b680
13129354957a23
1476ba88a4728
153b52a476196
hex1f855b7a400

2166101615616 has 88 divisors (see below), whose sum is σ = 5775196842240. Its totient is φ = 721815478272.

The previous prime is 2166101615609. The next prime is 2166101615653. The reversal of 2166101615616 is 6165161016612.

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 7 ways as a sum of consecutive naturals, for example, 10213890 + ... + 10423806.

Almost surely, 22166101615616 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 2166101615616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887598421120).

2166101615616 is an abundant number, since it is smaller than the sum of its proper divisors (3609095226624).

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

2166101615616 is a wasteful number, since it uses less digits than its factorization.

2166101615616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213299 (or 213281 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 2166101615616 in words is "two trillion, one hundred sixty-six billion, one hundred one million, six hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 3359 6718 10077 13436 20154 26872 40308 53744 80616 107488 161232 209917 214976 322464 419834 429952 629751 644928 839668 859904 1259502 1289856 1679336 1719808 2519004 2579712 3358672 3439616 5038008 5159424 6717344 10076016 10318848 13434688 20152032 26869376 40304064 53738752 80608128 107477504 161216256 214955008 322432512 644865024 705111203 1410222406 2115333609 2820444812 4230667218 5640889624 8461334436 11281779248 16922668872 22563558496 33845337744 45127116992 67690675488 90254233984 135381350976 180508467968 270762701952 361016935936 541525403904 722033871872 1083050807808 2166101615616