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172127830707 = 34753113173293
BaseRepresentation
bin1010000001001110011…
…1100100001010110011
3121110021212212210010000
42200103213210022303
510310004211040312
6211024024441043
715302326264140
oct2402347441263
9543255783100
10172127830707
1166aa9744948
1229439319183
1313301a3a701
14848c4c93c7
15472655dadc
hex28139e42b3

172127830707 has 160 divisors (see below), whose sum is σ = 304839013248. Its totient is φ = 94771482624.

The previous prime is 172127830703. The next prime is 172127830717. The reversal of 172127830707 is 707038721271.

172127830707 is a `hidden beast` number, since 1 + 72 + 1 + 278 + 307 + 0 + 7 = 666.

It is not a de Polignac number, because 172127830707 - 22 = 172127830703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (172127830703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 587466853 + ... + 587467145.

Almost surely, 2172127830707 is an apocalyptic number.

172127830707 is a deficient number, since it is larger than the sum of its proper divisors (132711182541).

172127830707 is a wasteful number, since it uses less digits than its factorization.

172127830707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 45.

The spelling of 172127830707 in words is "one hundred seventy-two billion, one hundred twenty-seven million, eight hundred thirty thousand, seven hundred seven".

Divisors: 1 3 7 9 21 27 53 63 81 113 159 173 189 293 339 371 477 519 567 791 879 1017 1113 1211 1431 1557 2051 2373 2637 3051 3339 3633 4293 4671 5989 6153 7119 7911 9153 9169 10017 10899 14013 15529 17967 18459 19549 21357 23733 27507 30051 32697 33109 41923 46587 50689 53901 55377 58647 64071 64183 82521 98091 99327 108703 125769 136843 139761 152067 161703 166131 175941 192549 231763 247563 297981 326109 354823 377307 410529 419283 456201 485109 527823 577647 695289 742689 893943 978327 1036097 1064469 1131921 1231587 1257849 1368603 1583469 1732941 1754777 2085867 2681829 2686517 2934981 3108291 3193407 3395763 3694761 4105809 5198823 5264331 5727857 6257601 7252679 8059551 8804943 9324873 9580221 11084283 12283439 15792993 17183571 18772803 18805619 21758037 24178653 27974619 28740663 36850317 40094999 47378979 51550713 56416857 65274111 72535959 83923857 110550951 120284997 142136937 154652139 169250571 195822333 217607877 303576421 331652853 360854991 463956417 507751713 587466999 910729263 994958559 1082564973 1523255139 2125034947 2732187789 3247694919 6375104841 8196563367 19125314523 24589690101 57375943569 172127830707