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216045366404427 = 33737322511361441
BaseRepresentation
bin110001000111110111111011…
…010100011110010101001011
31001022221201212001021222202000
4301013313323110132111023
5211304141402244420202
62043253512101042043
763335522403401130
oct6107677324362513
91038851761258660
10216045366404427
116292536405393a
12202930580b6323
139371cb5566181
143b4c919b0c587
1519e9c80b3291c
hexc47dfb51e54b

216045366404427 has 64 divisors (see below), whose sum is σ = 366934976517120. Its totient is φ = 123068730240000.

The previous prime is 216045366404419. The next prime is 216045366404501. The reversal of 216045366404427 is 724404663540612.

216045366404427 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 4 + 536 + 6 + 40 + 44 + 27 = 666.

It is not a de Polignac number, because 216045366404427 - 23 = 216045366404419 is a prime.

It is a super-2 number, since 2×2160453664044272 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (216045366404027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158008027 + ... + 159369467.

It is an arithmetic number, because the mean of its divisors is an integer number (5733359008080).

Almost surely, 2216045366404427 is an apocalyptic number.

216045366404427 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

216045366404427 is a deficient number, since it is larger than the sum of its proper divisors (150889610112693).

216045366404427 is a wasteful number, since it uses less digits than its factorization.

216045366404427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364081 (or 1364075 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 216045366404427 in words is "two hundred sixteen trillion, forty-five billion, three hundred sixty-six million, four hundred four thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 21 27 63 189 373 1119 2251 2611 3357 6753 7833 10071 15757 20259 23499 47271 60777 70497 141813 425439 839623 1361441 2518869 4084323 5877361 7556607 9530087 12252969 17632083 22669821 28590261 36758907 52896249 85770783 158688747 257312349 507817493 1523452479 3064603691 3554722451 4570357437 9193811073 10664167353 13711072311 21452225837 27581433219 31992502059 64356677511 82744299657 95977506177 193070032533 579210097599 1143097176743 3429291530229 8001680237201 10287874590687 24005040711603 30863623772061 72015122134809 216045366404427