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20842112970 = 2335722349451
BaseRepresentation
bin10011011010010010…
…010110011111001010
31222210112010001002000
4103122102112133022
5320141040103340
613324050451430
71335326015520
oct233222263712
958715101060
1020842112970
118925913a58
124057b93b76
131c71cb4033
14101a094310
1581eb60d30
hex4da4967ca

20842112970 has 128 divisors (see below), whose sum is σ = 63804948480. Its totient is φ = 4742452800.

The previous prime is 20842112957. The next prime is 20842113007. The reversal of 20842112970 is 7921124802.

20842112970 is a `hidden beast` number, since 208 + 421 + 1 + 29 + 7 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396745 + ... + 446195.

It is an arithmetic number, because the mean of its divisors is an integer number (498476160).

Almost surely, 220842112970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20842112970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31902474240).

20842112970 is an abundant number, since it is smaller than the sum of its proper divisors (42962835510).

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

20842112970 is a wasteful number, since it uses less digits than its factorization.

20842112970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49697 (or 49691 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 20842112970 in words is "twenty billion, eight hundred forty-two million, one hundred twelve thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 223 270 315 378 446 630 669 945 1115 1338 1561 1890 2007 2230 3122 3345 4014 4683 6021 6690 7805 9366 10035 12042 14049 15610 20070 23415 28098 30105 42147 46830 49451 60210 70245 84294 98902 140490 148353 210735 247255 296706 346157 421470 445059 494510 692314 741765 890118 1038471 1335177 1483530 1730785 2076942 2225295 2670354 3115413 3461570 4450590 5192355 6230826 6675885 9346239 10384710 11027573 13351770 15577065 18692478 22055146 31154130 33082719 46731195 55137865 66165438 77193011 93462390 99248157 110275730 154386022 165413595 198496314 231579033 297744471 330827190 385965055 463158066 496240785 595488942 694737099 771930110 992481570 1157895165 1389474198 1488722355 2084211297 2315790330 2977444710 3473685495 4168422594 6947370990 10421056485 20842112970