Search a number
-
+
16434175126005 = 3357131337743193
BaseRepresentation
bin1110111100100110000100…
…1010111010100111110101
32011012002110220212110021000
43233021201022322213311
54123224142313013010
654541431131513513
73314221115500410
oct357114112724765
964162426773230
1016434175126005
11526677046985a
121a15077bb8899
139229751986b0
1440b5bdc28b77
151d7755c177c0
hexef2612ba9f5

16434175126005 has 64 divisors (see below), whose sum is σ = 35958537054720. Its totient is φ = 6934860707328.

The previous prime is 16434175126003. The next prime is 16434175126013. The reversal of 16434175126005 is 50062157143461.

It is a happy number.

16434175126005 is a `hidden beast` number, since 1 + 6 + 4 + 34 + 1 + 7 + 5 + 1 + 2 + 600 + 5 = 666.

It is not a de Polignac number, because 16434175126005 - 21 = 16434175126003 is a prime.

It is a super-4 number, since 4×164341751260054 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16434175126003) 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, 668859312 + ... + 668883881.

It is an arithmetic number, because the mean of its divisors is an integer number (561852141480).

Almost surely, 216434175126005 is an apocalyptic number.

16434175126005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

16434175126005 is an abundant number, since it is smaller than the sum of its proper divisors (19524361928715).

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

16434175126005 is a wasteful number, since it uses less digits than its factorization.

16434175126005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337743227 (or 1337743221 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 16434175126005 in words is "sixteen trillion, four hundred thirty-four billion, one hundred seventy-five million, one hundred twenty-six thousand, five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 12285 1337743193 4013229579 6688715965 9364202351 12039688737 17390661509 20066147895 28092607053 36119066211 46821011755 52171984527 60198443685 84277821159 86953307545 121734630563 140463035265 156515953581 180595331055 252833463477 260859922635 365203891689 421389105795 469547860743 608673152815 782579767905 1095611675067 1264167317385 1826019458445 2347739303715 3286835025201 5478058375335 16434175126005