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60117071106 = 23196773137787
BaseRepresentation
bin110111111111010000…
…011011010100000010
312202011122212122010010
4313333100123110002
51441104432233411
643341205245350
74225520446611
oct677720332402
9182148778103
1060117071106
112354a579344
12b799103856
135890a99c31
142ca4249878
15186cb7a7a6
hexdff41b502

60117071106 has 128 divisors (see below), whose sum is σ = 131327953920. Its totient is φ = 18286912512.

The previous prime is 60117071099. The next prime is 60117071111.

60117071106 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×601170711062 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76387245 + ... + 76388031.

It is an arithmetic number, because the mean of its divisors is an integer number (1025999640).

Almost surely, 260117071106 is an apocalyptic number.

60117071106 is an abundant number, since it is smaller than the sum of its proper divisors (71210882814).

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

60117071106 is a wasteful number, since it uses less digits than its factorization.

60117071106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088.

The product of its (nonzero) digits is 1764, while the sum is 30.

It can be divided in two parts, 601170 and 71106, that added together give a palindrome (672276).

The spelling of 60117071106 in words is "sixty billion, one hundred seventeen million, seventy-one thousand, one hundred six".

Divisors: 1 2 3 6 19 38 57 67 73 114 134 137 146 201 219 274 402 411 438 787 822 1273 1387 1574 2361 2546 2603 2774 3819 4161 4722 4891 5206 7638 7809 8322 9179 9782 10001 14673 14953 15618 18358 20002 27537 29346 29906 30003 44859 52729 55074 57451 60006 89718 92929 105458 107819 114902 158187 172353 174401 185858 190019 215638 278787 316374 323457 344706 348802 380038 523203 557574 570057 646914 670067 1001851 1046406 1091569 1140114 1340134 2003702 2010201 2048561 2183138 3005553 3274707 3849217 4020402 4097122 6011106 6145683 6549414 7223873 7698434 7870787 11547651 12291366 12731273 14447746 15741574 21671619 23095302 23612361 25462546 38193819 43343238 47224722 73135123 76387638 137253587 146270246 149544953 219405369 274507174 299089906 411760761 438810738 448634859 527342729 823521522 897269718 1054685458 1582028187 3164056374 10019511851 20039023702 30058535553 60117071106