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1004300000046 = 233737920873359
BaseRepresentation
bin11101001110101001111…
…00011101101100101110
310120000021101122001122000
432213110330131230232
5112423301300000141
62045211414233130
7132362330102220
oct16472474355456
93500241561560
101004300000046
11357a15193642
121427820557a6
13739220b8075
1436873570410
151b1cdeea5b6
hexe9d4f1db2e

1004300000046 has 128 divisors (see below), whose sum is σ = 2559320064000. Its totient is φ = 285963465312.

The previous prime is 1004300000027. The next prime is 1004300000071. The reversal of 1004300000046 is 6400000034001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004299999974 and 1004300000028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298986115 + ... + 298989473.

It is an arithmetic number, because the mean of its divisors is an integer number (19994688000).

Almost surely, 21004300000046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004300000046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279660032000).

1004300000046 is an abundant number, since it is smaller than the sum of its proper divisors (1555020063954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1004300000046 is a wasteful number, since it uses less digits than its factorization.

1004300000046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5837 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1004300000046 its reverse (6400000034001), we get a palindrome (7404300034047).

The spelling of 1004300000046 in words is "one trillion, four billion, three hundred million, forty-six", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 379 758 1137 2087 2274 2653 3359 3411 4174 5306 6261 6718 6822 7959 10077 10233 12522 14609 15918 18783 20154 20466 23513 23877 29218 30231 37566 43827 47026 47754 56349 60462 70539 71631 87654 90693 112698 131481 141078 143262 181386 211617 262962 394443 423234 634851 788886 790973 1269702 1273061 1581946 2372919 2546122 3819183 4745838 5536811 7010233 7118757 7638366 8911427 11073622 11457549 14020466 14237514 16610433 17822854 21030699 21356271 22915098 26734281 33220866 34372647 42061398 42712542 49071631 49831299 53468562 63092097 68745294 80202843 98143262 99662598 126184194 147214893 149493897 160405686 189276291 240608529 294429786 298987794 378552582 441644679 481217058 883289358 1324934037 2649868074 2656878307 5313756614 7970634921 15941269842 18598148149 23911904763 37196296298 47823809526 55794444447 71735714289 111588888894 143471428578 167383333341 334766666682 502150000023 1004300000046