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206105060506107 = 37597912131735919
BaseRepresentation
bin101110110111001110010010…
…111010101111100111111011
31000000202110012001001022001110
4232313032102322233213323
5204003311130442143412
62010203205131451403
761261412351354430
oct5667162272574773
91000673161038043
10206105060506107
115a742735564a54
121b14865b8b6b63
138b00815683409
1438c77769a5b87
1518c63eb66ad3c
hexbb7392eaf9fb

206105060506107 has 64 divisors (see below), whose sum is σ = 323697696768000. Its totient is φ = 114218293857408.

The previous prime is 206105060506091. The next prime is 206105060506141. The reversal of 206105060506107 is 701605060501602.

It is not a de Polignac number, because 206105060506107 - 24 = 206105060506091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (206105060506187) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117861694 + ... + 119597612.

It is an arithmetic number, because the mean of its divisors is an integer number (5057776512000).

Almost surely, 2206105060506107 is an apocalyptic number.

206105060506107 is a deficient number, since it is larger than the sum of its proper divisors (117592636261893).

206105060506107 is a wasteful number, since it uses less digits than its factorization.

206105060506107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737280.

The product of its (nonzero) digits is 75600, while the sum is 39.

The spelling of 206105060506107 in words is "two hundred six trillion, one hundred five billion, sixty million, five hundred six thousand, one hundred seven".

Divisors: 1 3 7 21 59 79 177 237 413 553 1213 1239 1659 3639 4661 8491 13983 25473 32627 71567 95827 97881 214701 287481 500969 670789 1502907 1735919 2012367 5207757 5653793 12151433 16961379 36454299 39576551 102419221 118729653 137137601 307257663 411412803 716934547 959963207 2105669747 2150803641 2879889621 6317009241 8091118459 14739688229 24273355377 44219064687 56637829213 124234515073 166347910013 169913487639 372703545219 499043730039 869641605511 1164435370091 2608924816533 3493306110273 9814526690767 29443580072301 68701686835369 206105060506107