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20410042136 = 23111931449877
BaseRepresentation
bin10011000000100010…
…001000011100011000
31221200102002120022112
4103000202020130120
5313244432322021
613213134011452
71321531332011
oct230042103430
957612076275
1020410042136
118723a33820
123b57346b88
131c03624013
14db8942008
157e6c64d5b
hex4c0888718

20410042136 has 128 divisors (see below), whose sum is σ = 45515520000. Its totient is φ = 8476876800.

The previous prime is 20410042123. The next prime is 20410042139. The reversal of 20410042136 is 63124001402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20410042139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23272130 + ... + 23273006.

It is an arithmetic number, because the mean of its divisors is an integer number (355590000).

Almost surely, 220410042136 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 20410042136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22757760000).

20410042136 is an abundant number, since it is smaller than the sum of its proper divisors (25105477864).

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

20410042136 is a wasteful number, since it uses less digits than its factorization.

20410042136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 20410042136 its reverse (63124001402), we get a palindrome (83534043538).

The spelling of 20410042136 in words is "twenty billion, four hundred ten million, forty-two thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 19 22 31 38 44 62 76 88 124 152 209 248 341 418 449 589 682 836 877 898 1178 1364 1672 1754 1796 2356 2728 3508 3592 4712 4939 6479 7016 8531 9647 9878 12958 13919 16663 17062 19294 19756 25916 27187 27838 33326 34124 38588 39512 51832 54374 55676 66652 68248 77176 93841 108748 111352 133304 153109 183293 187682 217496 264461 299057 306218 366586 375364 393773 516553 528922 598114 612436 733172 750728 787546 1033106 1057844 1196228 1224872 1466344 1575092 2066212 2115688 2392456 2909071 3150184 4132424 4331503 5682083 5818142 7481687 8663006 11364166 11636284 12206963 14963374 17326012 22728332 23272568 24413926 29926748 34652024 45456664 48827852 59853496 82298557 97655704 134276593 164597114 231932297 268553186 329194228 463864594 537106372 658388456 927729188 1074212744 1855458376 2551255267 5102510534 10205021068 20410042136