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20161577216 = 281147347439
BaseRepresentation
bin10010110001101110…
…010100000100000000
31221001002120020112002
4102301232110010000
5312242330432331
613132340323132
71312423402334
oct226156240400
957032506462
1020161577216
118606759410
123aa80a34a8
131b93ccb261
14d939457c4
157d00359cb
hex4b1b94100

20161577216 has 144 divisors (see below), whose sum is σ = 45068728320. Its totient is φ = 8923146240.

The previous prime is 20161577213. The next prime is 20161577239. The reversal of 20161577216 is 61277516102.

It is a self number, because there is not a number n which added to its sum of digits gives 20161577216.

It is not an unprimeable number, because it can be changed into a prime (20161577213) 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, 45925925 + ... + 45926363.

It is an arithmetic number, because the mean of its divisors is an integer number (312977280).

Almost surely, 220161577216 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 20161577216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22534364160).

20161577216 is an abundant number, since it is smaller than the sum of its proper divisors (24907151104).

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

20161577216 is a wasteful number, since it uses less digits than its factorization.

20161577216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The spelling of 20161577216 in words is "twenty billion, one hundred sixty-one million, five hundred seventy-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 256 347 352 376 439 517 694 704 752 878 1034 1388 1408 1504 1756 2068 2776 2816 3008 3512 3817 4136 4829 5552 6016 7024 7634 8272 9658 11104 12032 14048 15268 16309 16544 19316 20633 22208 28096 30536 32618 33088 38632 41266 44416 56192 61072 65236 66176 77264 82532 88832 112384 122144 130472 132352 152333 154528 165064 179399 226963 244288 260944 304666 309056 330128 358798 453926 488576 521888 609332 618112 660256 717596 907852 977152 1043776 1218664 1236224 1320512 1435192 1675663 1815704 2087552 2437328 2641024 2870384 3351326 3631408 4175104 4874656 5282048 5740768 6702652 7159651 7262816 9749312 11481536 13405304 14319302 14525632 19498624 22963072 26810608 28638604 29051264 38997248 45926144 53621216 57277208 58102528 78756161 107242432 114554416 157512322 214484864 229108832 315024644 428969728 458217664 630049288 916435328 1260098576 1832870656 2520197152 5040394304 10080788608 20161577216