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1669338934000 = 24531736477457
BaseRepresentation
bin11000010010101100010…
…110101010101011110000
312220120212002201021202221
4120102230112222223300
5204322301231342000
63314514514450424
7231414526550413
oct30225426525360
95816762637687
101669338934000
11593a65343921
1222b642293a14
13c155841387a
145ab215c1b7a
152d653b6361a
hex184ac5aaaf0

1669338934000 has 160 divisors (see below), whose sum is σ = 4066613755776. Its totient is φ = 662760857600.

The previous prime is 1669338933979. The next prime is 1669338934027. The reversal of 1669338934000 is 4398339661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223858272 + ... + 223865728.

Almost surely, 21669338934000 is an apocalyptic number.

1669338934000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1669338934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033306877888).

1669338934000 is an abundant number, since it is smaller than the sum of its proper divisors (2397274821776).

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

1669338934000 is a wasteful number, since it uses less digits than its factorization.

1669338934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8300 (or 8284 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 52.

The spelling of 1669338934000 in words is "one trillion, six hundred sixty-nine billion, three hundred thirty-eight million, nine hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 173 200 250 346 400 500 647 692 865 1000 1294 1384 1730 2000 2588 2768 3235 3460 4325 5176 6470 6920 7457 8650 10352 12940 13840 14914 16175 17300 21625 25880 29828 32350 34600 37285 43250 51760 59656 64700 69200 74570 80875 86500 111931 119312 129400 149140 161750 173000 186425 223862 258800 298280 323500 346000 372850 447724 559655 596560 647000 745700 895448 932125 1119310 1290061 1294000 1491400 1790896 1864250 2238620 2580122 2798275 2982800 3728500 4477240 4824679 5160244 5596550 6450305 7457000 8954480 9649358 10320488 11193100 12900610 13991375 14914000 19298716 20640976 22386200 24123395 25801220 27982750 32251525 38597432 44772400 48246790 51602440 55965500 64503050 77194864 96493580 103204880 111931000 120616975 129006100 161257625 192987160 223862000 241233950 258012200 322515250 385974320 482467900 516024400 603084875 645030500 834669467 964935800 1206169750 1290061000 1669338934 1929871600 2412339500 2580122000 3338677868 4173347335 4824679000 6677355736 8346694670 9649358000 13354711472 16693389340 20866736675 33386778680 41733473350 66773557360 83466946700 104333683375 166933893400 208667366750 333867786800 417334733500 834669467000 1669338934000