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1045004021688 = 2331141331291677
BaseRepresentation
bin11110011010011110001…
…01111110111110111000
310200220100010102121021010
433031033011332332320
5114110132012143223
62120022422513520
7135333113424234
oct17151705767670
93626303377233
101045004021688
11373202588550
1214a6418958a0
137770ac87383
14388154415c4
151c2b26eb393
hexf34f17efb8

1045004021688 has 128 divisors (see below), whose sum is σ = 2928353783040. Its totient is φ = 308009856000.

The previous prime is 1045004021641. The next prime is 1045004021693. The reversal of 1045004021688 is 8861204005401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3436906 + ... + 3728582.

It is an arithmetic number, because the mean of its divisors is an integer number (22877763930).

Almost surely, 21045004021688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045004021688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464176891520).

1045004021688 is an abundant number, since it is smaller than the sum of its proper divisors (1883349761352).

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

1045004021688 is a wasteful number, since it uses less digits than its factorization.

1045004021688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292069 (or 292065 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 1045004021688 in words is "one trillion, forty-five billion, four million, twenty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 331 451 492 662 902 984 993 1324 1353 1804 1986 2648 2706 3608 3641 3972 5412 7282 7944 10824 10923 13571 14564 21846 27142 29128 40713 43692 54284 81426 87384 108568 149281 162852 291677 298562 325704 447843 583354 597124 875031 895686 1166708 1194248 1750062 1791372 2333416 3208447 3500124 3582744 6416894 7000248 9625341 11958757 12833788 19250682 23917514 25667576 35876271 38501364 47835028 71752542 77002728 95670056 96545087 131546327 143505084 193090174 263092654 287010168 289635261 386180348 394638981 526185308 579270522 772360696 789277962 1052370616 1061995957 1158541044 1578555924 2123991914 2317082088 3157111848 3185987871 3958348567 4247983828 6371975742 7916697134 8495967656 11875045701 12743951484 15833394268 23750091402 25487902968 31666788536 43541834237 47500182804 87083668474 95000365608 130625502711 174167336948 261251005422 348334673896 522502010844 1045004021688