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16936665417 = 3272196730169
BaseRepresentation
bin11111100011000000…
…10000000101001001
31121201100022202012100
433301200100011021
5234141241243132
611440335304013
71136464165200
oct176140200511
947640282170
1016936665417
117201340451
12334807b009
13179bb49719
14b69514237
15691d6637c
hex3f1810149

16936665417 has 72 divisors (see below), whose sum is σ = 30404119200. Its totient is φ = 9031575168.

The previous prime is 16936665407. The next prime is 16936665439. The reversal of 16936665417 is 71456663961.

It is a happy number.

It is not a de Polignac number, because 16936665417 - 26 = 16936665353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16936665407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 546309 + ... + 576477.

Almost surely, 216936665417 is an apocalyptic number.

It is an amenable number.

16936665417 is a deficient number, since it is larger than the sum of its proper divisors (13467453783).

16936665417 is a wasteful number, since it uses less digits than its factorization.

16936665417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30275 (or 30265 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 16936665417 in words is "sixteen billion, nine hundred thirty-six million, six hundred sixty-five thousand, four hundred seventeen".

Divisors: 1 3 7 9 19 21 49 57 63 67 133 147 171 201 399 441 469 603 931 1197 1273 1407 2793 3283 3819 4221 8379 8911 9849 11457 26733 29547 30169 62377 80199 90507 187131 211183 271521 561393 573211 633549 1478281 1719633 1900647 2021323 4012477 4434843 5158899 6063969 12037431 13304529 14149261 18191907 28087339 36112293 38405137 42447783 84262017 99044827 115215411 127343349 252786051 268835959 297134481 345646233 806507877 891403443 1881851713 2419523631 5645555139 16936665417