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533768115920 = 245133164725589
BaseRepresentation
bin1111100010001110000…
…11110001011011010000
31220000202012212201220112
413301013003301123100
532221124114202140
61045113143100452
753364162061034
oct7610703613320
91800665781815
10533768115920
11196408205816
1287545a41728
133b446095860
141bb97ca01c4
15dd4047ac65
hex7c470f16d0

533768115920 has 160 divisors (see below), whose sum is σ = 1381771560960. Its totient is φ = 190423848960.

The previous prime is 533768115919. The next prime is 533768115953. The reversal of 533768115920 is 29511867335.

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, 20846486 + ... + 20872074.

It is an arithmetic number, because the mean of its divisors is an integer number (8636072256).

Almost surely, 2533768115920 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 533768115920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690885780480).

533768115920 is an abundant number, since it is smaller than the sum of its proper divisors (848003445040).

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

533768115920 is a wasteful number, since it uses less digits than its factorization.

533768115920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26293 (or 26287 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 50.

The spelling of 533768115920 in words is "five hundred thirty-three billion, seven hundred sixty-eight million, one hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 647 806 1040 1240 1294 1612 2015 2480 2588 3224 3235 4030 5176 6448 6470 8060 8411 10352 12940 16120 16822 20057 25589 25880 32240 33644 40114 42055 51178 51760 67288 80228 84110 100285 102356 127945 134576 160456 168220 200570 204712 255890 260741 320912 332657 336440 401140 409424 511780 521482 665314 672880 793259 802280 1023560 1042964 1303705 1330628 1586518 1604560 1663285 2047120 2085928 2607410 2661256 3173036 3326570 3966295 4171856 5214820 5322512 6346072 6653140 7932590 10312367 10429640 12692144 13306280 15865180 16556083 20624734 20859280 26612560 31730360 33112166 41249468 51561835 63460720 66224332 82498936 82780415 103123670 132448664 164997872 165560830 206247340 215229079 264897328 331121660 412494680 430458158 513238573 662243320 824989360 860916316 1026477146 1076145395 1324486640 1721832632 2052954292 2152290790 2566192865 3443665264 4105908584 4304581580 5132385730 6672101449 8211817168 8609163160 10264771460 13344202898 17218326320 20529542920 26688405796 33360507245 41059085840 53376811592 66721014490 106753623184 133442028980 266884057960 533768115920