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2121354536320 = 27517226985931
BaseRepresentation
bin11110110111101010100…
…101010110010110000000
321111210120211211000222101
4132313222211112112000
5234224013230130240
64302311541520144
7306156100020655
oct36675245262600
97453524730871
102121354536320
11748730372108
122a3171413054
1312507326c806
1474961a71c2c
153a2abd4739a
hex1edea956580

2121354536320 has 128 divisors (see below), whose sum is σ = 5372107725600. Its totient is φ = 798266327040.

The previous prime is 2121354536311. The next prime is 2121354536339. The reversal of 2121354536320 is 236354531212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2121354536320.

It is a congruent number.

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, 24643755 + ... + 24729685.

Almost surely, 22121354536320 is an apocalyptic number.

2121354536320 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 2121354536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686053862800).

2121354536320 is an abundant number, since it is smaller than the sum of its proper divisors (3250753189280).

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

2121354536320 is a wasteful number, since it uses less digits than its factorization.

2121354536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88236 (or 88224 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 2121354536320 in words is "two trillion, one hundred twenty-one billion, three hundred fifty-four million, five hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2269 2720 4538 5440 9076 10880 11345 18152 22690 36304 38573 45380 72608 77146 85931 90760 145216 154292 171862 181520 192865 290432 308584 343724 363040 385730 429655 617168 687448 726080 771460 859310 1234336 1374896 1452160 1460827 1542920 1718620 2468672 2749792 2921654 3085840 3437240 4937344 5499584 5843308 6171680 6874480 7304135 10999168 11686616 12343360 13748960 14608270 23373232 24686720 27497920 29216540 46746464 54995840 58433080 93492928 116866160 186985856 194977439 233732320 389954878 467464640 779909756 934929280 974887195 1559819512 1949774390 3119639024 3314616463 3899548780 6239278048 6629232926 7799097560 12478556096 13258465852 15598195120 16573082315 24957112192 26516931704 31196390240 33146164630 53033863408 62392780480 66292329260 106067726816 124785560960 132584658520 212135453632 265169317040 424270907264 530338634080 1060677268160 2121354536320