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200488218836480 = 2951723919275341
BaseRepresentation
bin101101100101011111001101…
…000100001011111000000000
3222021212111010200111122200022
4231211133031010023320000
5202234244333010231410
61550223003301313012
760141536651046521
oct5545371504137000
9867774120448608
10200488218836480
11589776378a8273
121a59bb62a05768
1387b3c5b6c6083
143771978312848
15182a25a77c455
hexb657cd10be00

200488218836480 has 160 divisors (see below), whose sum is σ = 511108052526720. Its totient is φ = 75162106593280.

The previous prime is 200488218836449. The next prime is 200488218836489. The reversal of 200488218836480 is 84638812884002.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200488218836489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 763610 + ... + 20038950.

It is an arithmetic number, because the mean of its divisors is an integer number (3194425328292).

Almost surely, 2200488218836480 is an apocalyptic number.

200488218836480 is a gapful number since it is divisible by the number (20) 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 200488218836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255554026263360).

200488218836480 is an abundant number, since it is smaller than the sum of its proper divisors (310619833690240).

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

200488218836480 is a wasteful number, since it uses less digits than its factorization.

200488218836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19275620 (or 19275604 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 62.

The spelling of 200488218836480 in words is "two hundred trillion, four hundred eighty-eight billion, two hundred eighteen million, eight hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 239 256 272 320 340 478 512 544 640 680 956 1088 1195 1280 1360 1912 2176 2390 2560 2720 3824 4063 4352 4780 5440 7648 8126 8704 9560 10880 15296 16252 19120 20315 21760 30592 32504 38240 40630 43520 61184 65008 76480 81260 122368 130016 152960 162520 260032 305920 325040 520064 611840 650080 1040128 1300160 2080256 2600320 5200640 10401280 19275341 38550682 77101364 96376705 154202728 192753410 308405456 327680797 385506820 616810912 655361594 771013640 1233621824 1310723188 1542027280 1638403985 2467243648 2621446376 3084054560 3276807970 4606806499 4934487296 5242892752 6168109120 6553615940 9213612998 9868974592 10485785504 12336218240 13107231880 18427225996 20971571008 23034032495 24672436480 26214463760 36854451992 41943142016 46068064990 49344872960 52428927520 73708903984 78315710483 83886284032 92136129980 104857855040 147417807968 156631420966 167772568064 184272259960 209715710080 294835615936 313262841932 368544519920 391578552415 419431420160 589671231872 626525683864 737089039840 783157104830 838862840320 1179342463744 1253051367728 1474178079680 1566314209660 2358684927488 2506102735456 2948356159360 3132628419320 5012205470912 5896712318720 6265256838640 10024410941824 11793424637440 12530513677280 20048821883648 25061027354560 40097643767296 50122054709120 100244109418240 200488218836480