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20171616216 = 23323119330631
BaseRepresentation
bin10010110010010100…
…100110111111011000
31221001210110021102220
4102302110212333120
5312302413204331
613133335424040
71312604623503
oct226224467730
957053407386
1020171616216
118611395904
123aab525020
131b961047ab
14d94dda13a
157d0d6a296
hex4b2526fd8

20171616216 has 64 divisors (see below), whose sum is σ = 52667435520. Its totient is φ = 6425928960.

The previous prime is 20171616187. The next prime is 20171616221. The reversal of 20171616216 is 61261617102.

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, 643221 + ... + 673851.

It is an arithmetic number, because the mean of its divisors is an integer number (822928680).

Almost surely, 220171616216 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 20171616216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26333717760).

20171616216 is an abundant number, since it is smaller than the sum of its proper divisors (32495819304).

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

20171616216 is a wasteful number, since it uses less digits than its factorization.

20171616216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31856 (or 31852 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 20171616216 in words is "twenty billion, one hundred seventy-one million, six hundred sixteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 1193 2386 3579 4772 7158 9544 14316 27439 28632 30631 54878 61262 82317 91893 109756 122524 164634 183786 219512 245048 329268 367572 658536 704513 735144 1409026 2113539 2818052 4227078 5636104 8454156 16908312 36542783 73085566 109628349 146171132 219256698 292342264 438513396 840484009 877026792 1680968018 2521452027 3361936036 5042904054 6723872072 10085808108 20171616216