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16966103427 = 3471353137317
BaseRepresentation
bin11111100110100001…
…00011000110000011
31121210101201100120000
433303100203012003
5234221310302202
611443310251043
71140302333250
oct176320430603
947711640500
1016966103427
117216a17689
123355ab6a83
1317a4c85970
14b6d3b8427
1569472d91c
hex3f3423183

16966103427 has 160 divisors (see below), whose sum is σ = 32114662272. Its totient is φ = 8688715776.

The previous prime is 16966103383. The next prime is 16966103443. The reversal of 16966103427 is 72430166961.

16966103427 is a `hidden beast` number, since 1 + 6 + 9 + 6 + 610 + 3 + 4 + 27 = 666.

It is not a de Polignac number, because 16966103427 - 218 = 16965841283 is a prime.

It is a super-2 number, since 2×169661034272 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16966103477) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 53520673 + ... + 53520989.

Almost surely, 216966103427 is an apocalyptic number.

16966103427 is a deficient number, since it is larger than the sum of its proper divisors (15148558845).

16966103427 is a wasteful number, since it uses less digits than its factorization.

16966103427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 16966103427 in words is "sixteen billion, nine hundred sixty-six million, one hundred three thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 13 21 27 39 53 63 81 91 117 137 159 189 273 317 351 371 411 477 567 689 819 951 959 1053 1113 1233 1431 1781 2067 2219 2457 2853 2877 3339 3699 4121 4293 4823 5343 6201 6657 7261 7371 8559 8631 10017 11097 12363 12467 14469 16029 16801 18603 19971 21783 25677 25893 28847 30051 37089 37401 43407 43429 48087 50403 50827 55809 59913 65349 77679 86541 94393 111267 112203 117607 130221 130287 144261 151209 152481 179739 196047 218413 259623 283179 304003 333801 336609 352821 390663 390861 453627 457443 564577 588141 655239 660751 778869 849537 912009 1009827 1058463 1172583 1360881 1372329 1528891 1693731 1965717 1982253 2301737 2336607 2548611 2736027 3175389 3517749 3952039 4116987 4586673 5081193 5897151 5946759 6905211 7645833 8208081 9526167 11856117 13760019 15243579 16112159 17691453 17840277 20715633 24624243 29922581 35568351 41280057 45730737 48336477 53520831 62146899 89767743 106705053 123840171 145009431 186440697 209458067 269303229 320115159 435028293 628374201 807909687 1305084879 1885122603 2423729061 5655367809 16966103427