Search a number
-
+
6106712465172 = 22311387711932673
BaseRepresentation
bin101100011011101010001…
…1011010101111100010100
3210121210111021212110022010
41120313110123111330110
51300023021342341142
620553215053304220
71200124012334034
oct130672433257424
923553437773263
106106712465172
111a44929a91a30
12827631795070
13353b25720307
141717d051d8c4
15a8cb2640e9c
hex58dd46d5f14

6106712465172 has 48 divisors (see below), whose sum is σ = 15548369683392. Its totient is φ = 1850041466880.

The previous prime is 6106712465167. The next prime is 6106712465179. The reversal of 6106712465172 is 2715642176016.

It is a super-3 number, since 3×61067124651723 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6106712465179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5454573 + ... + 6478100.

It is an arithmetic number, because the mean of its divisors is an integer number (323924368404).

Almost surely, 26106712465172 is an apocalyptic number.

It is an amenable number.

6106712465172 is an abundant number, since it is smaller than the sum of its proper divisors (9441657218220).

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

6106712465172 is a wasteful number, since it uses less digits than its factorization.

6106712465172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11936568 (or 11936566 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 6106712465172 in words is "six trillion, one hundred six billion, seven hundred twelve million, four hundred sixty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3877 7754 11631 15508 23262 42647 46524 85294 127941 170588 255882 511764 11932673 23865346 35798019 47730692 71596038 131259403 143192076 262518806 393778209 525037612 787556418 1575112836 46262973221 92525946442 138788919663 185051892884 277577839326 508892705431 555155678652 1017785410862 1526678116293 2035570821724 3053356232586 6106712465172