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1730104941929 = 7213172939713877
BaseRepresentation
bin11001001011010010010…
…010100101110101101001
320010101200222200022212012
4121023102102211311221
5211321223331120204
63402444345125305
7235665420235400
oct31132222456551
96111628608765
101730104941929
11607808154a91
1223b380789835
13c71c0781890
145da47ab2637
153000d77676e
hex192d24a5d69

1730104941929 has 96 divisors (see below), whose sum is σ = 2380162488480. Its totient is φ = 1240703557632.

The previous prime is 1730104941913. The next prime is 1730104942037. The reversal of 1730104941929 is 9291494010371.

It can be written as a sum of positive squares in 16 ways, for example, as 544297195225 + 1185807746704 = 737765^2 + 1088948^2 .

It is not a de Polignac number, because 1730104941929 - 24 = 1730104941913 is a prime.

It is a super-2 number, since 2×17301049419292 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1730104943929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124667339 + ... + 124681215.

It is an arithmetic number, because the mean of its divisors is an integer number (24793359255).

Almost surely, 21730104941929 is an apocalyptic number.

It is an amenable number.

1730104941929 is a deficient number, since it is larger than the sum of its proper divisors (650057546551).

1730104941929 is a wasteful number, since it uses less digits than its factorization.

1730104941929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14347 (or 14340 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 50.

The spelling of 1730104941929 in words is "one trillion, seven hundred thirty billion, one hundred four million, nine hundred forty-one thousand, nine hundred twenty-nine".

Divisors: 1 7 13 17 29 49 91 119 203 221 377 397 493 637 833 1421 1547 2639 2779 3451 5161 6409 6749 10829 11513 13877 18473 19453 24157 36127 44863 47243 80591 87737 97139 149669 180401 195721 235909 252889 314041 330701 402433 564137 614159 679973 1047683 1262807 1370047 1651363 2544373 2817031 3066817 4299113 5231629 5509169 6841361 7333781 8839649 9590329 11559541 17810611 19719217 21467719 36621403 38564183 47889527 71619197 88937693 93655873 124674277 150274033 159765901 256349821 269949281 335226689 501334379 622563851 655591111 1118361307 1217526349 2076956713 2716020317 3509340653 4357946957 4589137777 7828529149 8522684443 14538696991 19012142219 35308264121 59658791101 101770878937 133084995533 247157848847 1730104941929