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20285245116 = 22323724110039
BaseRepresentation
bin10010111001000110…
…000100011010111100
31221100201021012222200
4102321012010122330
5313021010320431
613152515111500
71315454511213
oct227106043274
957321235880
1020285245116
11866a545994
123b215a2590
131bb380a826
14da613807a
157dad12ee6
hex4b91846bc

20285245116 has 108 divisors (see below), whose sum is σ = 53990642160. Its totient is φ = 6417895680.

The previous prime is 20285245109. The next prime is 20285245129. The reversal of 20285245116 is 61154258202.

20285245116 is a `hidden beast` number, since 20 + 285 + 245 + 116 = 666.

It is a super-2 number, since 2×202852451162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2015625 + ... + 2025663.

Almost surely, 220285245116 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 20285245116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26995321080).

20285245116 is an abundant number, since it is smaller than the sum of its proper divisors (33705397044).

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

20285245116 is a wasteful number, since it uses less digits than its factorization.

20285245116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10164 (or 10122 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 20285245116 in words is "twenty billion, two hundred eighty-five million, two hundred forty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 369 444 492 666 738 1332 1369 1476 1517 2738 3034 4107 4551 5476 6068 8214 9102 10039 12321 13653 16428 18204 20078 24642 27306 30117 40156 49284 54612 56129 60234 90351 112258 120468 168387 180702 224516 336774 361404 371443 411599 505161 673548 742886 823198 1010322 1114329 1234797 1485772 1646396 2020644 2228658 2469594 3342987 3704391 4457316 4939188 6685974 7408782 13371948 13743391 14817564 15229163 27486782 30458326 41230173 45687489 54973564 60916652 82460346 91374978 123690519 137062467 164920692 182749956 247381038 274124934 494762076 548249868 563479031 1126958062 1690437093 2253916124 3380874186 5071311279 6761748372 10142622558 20285245116