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2057059487360 = 27559191285221
BaseRepresentation
bin11101111011110010010…
…011001100111010000000
321021122122000100010200202
4131323302103030322000
5232200324212043420
64213000003504332
7301421565100433
oct35736223147200
97248560303622
102057059487360
117234374a9209
122928090880a8
1311bc97a37847
14717c29c381a
15387974dc575
hex1def24cce80

2057059487360 has 128 divisors (see below), whose sum is σ = 5027208883200. Its totient is φ = 804639846400.

The previous prime is 2057059487323. The next prime is 2057059487377. The reversal of 2057059487360 is 637849507502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2057059487296 and 2057059487305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7069550 + ... + 7354770.

It is an arithmetic number, because the mean of its divisors is an integer number (39275069400).

Almost surely, 22057059487360 is an apocalyptic number.

2057059487360 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 2057059487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513604441600).

2057059487360 is an abundant number, since it is smaller than the sum of its proper divisors (2970149395840).

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

2057059487360 is a wasteful number, since it uses less digits than its factorization.

2057059487360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285490 (or 285478 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 56.

The spelling of 2057059487360 in words is "two trillion, fifty-seven billion, fifty-nine million, four hundred eighty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 64 80 118 128 160 191 236 295 320 382 472 590 640 764 944 955 1180 1528 1888 1910 2360 3056 3776 3820 4720 6112 7552 7640 9440 11269 12224 15280 18880 22538 24448 30560 37760 45076 56345 61120 90152 112690 122240 180304 225380 285221 360608 450760 570442 721216 901520 1140884 1426105 1442432 1803040 2281768 2852210 3606080 4563536 5704420 7212160 9127072 11408840 16828039 18254144 22817680 33656078 36508288 45635360 54477211 67312156 84140195 91270720 108954422 134624312 168280390 182541440 217908844 269248624 272386055 336560780 435817688 538497248 544772110 673121560 871635376 1076994496 1089544220 1346243120 1743270752 2153988992 2179088440 2692486240 3214155449 3486541504 4358176880 5384972480 6428310898 6973083008 8716353760 10769944960 12856621796 16070777245 17432707520 25713243592 32141554490 34865415040 51426487184 64283108980 102852974368 128566217960 205705948736 257132435920 411411897472 514264871840 1028529743680 2057059487360