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5642168957376 = 263710340757693
BaseRepresentation
bin101001000011010101101…
…1110011111100111000000
3201222101102110022011120120
41102012223132133213000
51214420130223114001
615555550541540240
71121430130556640
oct122065336374700
921871373264516
105642168957376
111885915315956
127715a6b74680
1331c092256c53
141571222b4520
159bb746b0236
hex521ab79f9c0

5642168957376 has 112 divisors (see below), whose sum is σ = 17226483915264. Its totient is φ = 1596397280256.

The previous prime is 5642168957351. The next prime is 5642168957407. The reversal of 5642168957376 is 6737598612465.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 5642168957376.

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, 20240415 + ... + 20517278.

Almost surely, 25642168957376 is an apocalyptic number.

5642168957376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5642168957376 is an abundant number, since it is smaller than the sum of its proper divisors (11584314957888).

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

5642168957376 is a wasteful number, since it uses less digits than its factorization.

5642168957376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40757818 (or 40757808 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 69.

The spelling of 5642168957376 in words is "five trillion, six hundred forty-two billion, one hundred sixty-eight million, nine hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 168 192 206 224 309 336 412 448 618 672 721 824 1236 1344 1442 1648 2163 2472 2884 3296 4326 4944 5768 6592 8652 9888 11536 17304 19776 23072 34608 46144 69216 138432 40757693 81515386 122273079 163030772 244546158 285303851 326061544 489092316 570607702 652123088 855911553 978184632 1141215404 1304246176 1711823106 1956369264 2282430808 2608492352 3423646212 3912738528 4198042379 4564861616 6847292424 7825477056 8396084758 9129723232 12594127137 13694584848 16792169516 18259446464 25188254274 27389169696 29386296653 33584339032 50376508548 54778339392 58772593306 67168678064 88158889959 100753017096 117545186612 134337356128 176317779918 201506034192 235090373224 268674712256 352635559836 403012068384 470180746448 705271119672 806024136768 940361492896 1410542239344 1880722985792 2821084478688 5642168957376