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20060505218358 = 23311791034150411
BaseRepresentation
bin1001000111110101100110…
…10010011001110100110110
32122000202200002201001201000
410203322303102121310312
510112132403313441413
6110355400250544130
74140216006626253
oct443726322316466
978022602631630
1020060505218358
116434681246130
1222bba3a738046
13b2690b6022a7
144d4d0dc6442a
1524bc46b33073
hex123eb3499d36

20060505218358 has 128 divisors (see below), whose sum is σ = 49725256089600. Its totient is φ = 5943719152800.

The previous prime is 20060505218287. The next prime is 20060505218371. The reversal of 20060505218358 is 85381250506002.

20060505218358 is a `hidden beast` number, since 2 + 0 + 0 + 60 + 505 + 2 + 1 + 83 + 5 + 8 = 666.

It is a congruent number.

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, 2758173 + ... + 6908583.

It is an arithmetic number, because the mean of its divisors is an integer number (388478563200).

Almost surely, 220060505218358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20060505218358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24862628044800).

20060505218358 is an abundant number, since it is smaller than the sum of its proper divisors (29664750871242).

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

20060505218358 is a wasteful number, since it uses less digits than its factorization.

20060505218358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4150615 (or 4150609 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 20060505218358 in words is "twenty trillion, sixty billion, five hundred five million, two hundred eighteen thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 99 103 158 198 206 237 297 309 474 594 618 711 869 927 1133 1422 1738 1854 2133 2266 2607 2781 3399 4266 5214 5562 6798 7821 8137 10197 15642 16274 20394 23463 24411 30591 46926 48822 61182 73233 89507 146466 179014 219699 268521 439398 537042 805563 1611126 2416689 4150411 4833378 8300822 12451233 24902466 37353699 45654521 74707398 91309042 112061097 136963563 224122194 273927126 327882469 410890689 427492333 655764938 821781378 854984666 983647407 1232672067 1282476999 1967294814 2465344134 2564953998 2950942221 3606707159 3847430997 4702415663 5901884442 7213414318 7694861994 8852826663 9404831326 10820121477 11542292991 14107246989 17705653326 21640242954 23084585982 28214493978 32460364431 33771894307 42321740967 64920728862 67543788614 84643481934 97381093293 101315682921 126965222901 194762186586 202631365842 253930445802 303947048763 371490837377 607894097526 742981674754 911841146289 1114472512131 1823682292578 2228945024262 3343417536393 6686835072786 10030252609179 20060505218358