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20542286960 = 24513531931931
BaseRepresentation
bin10011001000011010…
…100110110001110000
31222000121221022002222
4103020122212301300
5314032311140320
613234220300212
71325025362306
oct231032466160
958017838088
1020542286960
118791649268
123b936a1668
131c24b474b0
14dcc328276
15803688825
hex4c86a6c70

20542286960 has 160 divisors (see below), whose sum is σ = 52704001728. Its totient is φ = 7399342080.

The previous prime is 20542286911. The next prime is 20542286969. The reversal of 20542286960 is 6968224502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20542286969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10637195 + ... + 10639125.

Almost surely, 220542286960 is an apocalyptic number.

20542286960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20542286960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26352000864).

20542286960 is an abundant number, since it is smaller than the sum of its proper divisors (32161714768).

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

20542286960 is a wasteful number, since it uses less digits than its factorization.

20542286960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 20542286960 in words is "twenty billion, five hundred forty-two million, two hundred eighty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 53 65 80 104 106 130 193 208 212 260 265 386 424 520 530 689 772 848 965 1040 1060 1378 1544 1930 1931 2120 2509 2756 3088 3445 3860 3862 4240 5018 5512 6890 7720 7724 9655 10036 10229 11024 12545 13780 15440 15448 19310 20072 20458 25090 25103 27560 30896 38620 40144 40916 50180 50206 51145 55120 77240 81832 100360 100412 102290 102343 125515 132977 154480 163664 200720 200824 204580 204686 251030 265954 372683 401648 409160 409372 502060 511715 531908 664885 745366 818320 818744 1004120 1023430 1063816 1329770 1330459 1490732 1637488 1863415 2008240 2046860 2127632 2659540 2660918 2981464 3726830 4093720 4844879 5319080 5321836 5962928 6652295 7453660 8187440 9689758 10638160 10643672 13304590 14907320 19379516 19752199 21287344 24224395 26609180 29814640 38759032 39504398 48448790 53218360 77518064 79008796 96897580 98760995 106436720 158017592 193795160 197521990 256778587 316035184 387590320 395043980 513557174 790087960 1027114348 1283892935 1580175920 2054228696 2567785870 4108457392 5135571740 10271143480 20542286960