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216044416556241 = 37137997487212057
BaseRepresentation
bin110001000111110111000010…
…101101000101110011010001
31001022221122101211222200222120
4301013313002231011303101
5211304132431114244431
62043253233530324453
763335460020666340
oct6107670255056321
91038848354880876
10216044416556241
1162924a16974939
1220292a31b89729
139371b93838520
143b4c8698d7b57
1519e9c2755b196
hexc47dc2b45cd1

216044416556241 has 128 divisors (see below), whose sum is σ = 363469990625280. Its totient is φ = 111125866954752.

The previous prime is 216044416556183. The next prime is 216044416556257. The reversal of 216044416556241 is 142655614440612.

216044416556241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216044416556241 - 27 = 216044416556113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (216044416552241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1018697485 + ... + 1018909541.

It is an arithmetic number, because the mean of its divisors is an integer number (2839609301760).

Almost surely, 2216044416556241 is an apocalyptic number.

216044416556241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

216044416556241 is a deficient number, since it is larger than the sum of its proper divisors (147425574069039).

216044416556241 is a wasteful number, since it uses less digits than its factorization.

216044416556241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212743.

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 216044416556241 in words is "two hundred sixteen trillion, forty-four billion, four hundred sixteen million, five hundred fifty-six thousand, two hundred forty-one".

Divisors: 1 3 7 13 21 39 79 91 97 237 273 291 487 553 679 1027 1261 1461 1659 2037 3081 3409 3783 6331 7189 7663 8827 10227 18993 21567 22989 26481 38473 44317 47239 53641 99619 115419 132951 141717 160923 212057 269311 298857 330673 500149 614107 636171 697333 807933 992019 1484399 1500447 1842321 2091999 2756741 3501043 3731881 4298749 4453197 8270223 10503129 11195643 12896247 16752503 19297187 20569529 26123167 48514453 50257509 57891561 61708587 78369501 103271759 117267521 143986703 145543359 217782539 267403877 309815277 339601171 351802563 431960109 653347617 722902313 802211631 1018803513 1342532867 1524477773 1624992791 1871827139 2168706939 4027598601 4573433319 4874978373 5615481417 8158468961 9397730069 10017360623 11374949537 21124906283 24475406883 28193190207 30052081869 34124848611 57109282727 63374718849 70121524361 106060096493 130225688099 147874343981 171327848181 210364573083 318180289479 390677064297 443623031943 742420675451 791371489217 911579816693 2227262026353 2374114467651 2734739450079 5539600424519 10287829359821 16618801273557 30863488079463 72014805518747 216044416556241