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4930146542295 = 3451317370914851
BaseRepresentation
bin100011110111110001110…
…1000100010001011010111
3122110022120101111210210000
41013233203220202023113
51121233420003323140
614252513354302343
71016122425111402
oct107574350421327
918408511453700
104930146542295
111630955215927
126775b41279b3
13299bac107a40
141308983d8d39
158839ee0aa30
hex47be3a222d7

4930146542295 has 160 divisors (see below), whose sum is σ = 10080823515840. Its totient is φ = 2283605913600.

The previous prime is 4930146542267. The next prime is 4930146542327. The reversal of 4930146542295 is 5922456410394.

4930146542295 is a `hidden beast` number, since 4 + 9 + 3 + 0 + 1 + 4 + 6 + 542 + 2 + 95 = 666.

It is not a de Polignac number, because 4930146542295 - 26 = 4930146542231 is a prime.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 331966620 + ... + 331981470.

It is an arithmetic number, because the mean of its divisors is an integer number (63005146974).

Almost surely, 24930146542295 is an apocalyptic number.

4930146542295 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4930146542295 is an abundant number, since it is smaller than the sum of its proper divisors (5150676973545).

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

4930146542295 is a wasteful number, since it uses less digits than its factorization.

4930146542295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18607 (or 18598 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 4930146542295 in words is "four trillion, nine hundred thirty billion, one hundred forty-six million, five hundred forty-two thousand, two hundred ninety-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 221 255 351 405 459 585 663 765 1053 1105 1377 1755 1989 2295 3315 3709 5265 5967 6885 9945 11127 14851 17901 18545 29835 33381 44553 48217 55635 63053 74255 89505 100143 133659 144651 166905 189159 193063 222765 241085 252467 300429 315265 400977 433953 500715 567477 579189 668295 723255 757401 819689 945795 965315 1202931 1262335 1301859 1502145 1702431 1737567 2004885 2169765 2272203 2459067 2837385 2895945 3282071 3787005 3905577 4098445 5107293 5212701 6014655 6509295 6816609 7377201 8512155 8687835 9846213 11361015 12295335 15638103 16410355 19527885 20449827 22131603 25536465 26063505 29538639 34083045 36886005 49231065 55082359 66394809 78190515 88615917 102249135 110658015 147693195 165247077 265847751 275411795 331974045 443079585 495741231 716070667 826235385 936400103 1329238755 1487223693 2148212001 2478706155 2809200309 3580353335 4461671079 4682000515 6444636003 7436118465 8427600927 10741060005 12173201339 14046001545 19333908009 22308355395 25282802781 32223180015 36519604017 42138004635 58001724027 60866006695 75848408343 96669540045 109558812051 126414013905 182598020085 290008620135 328676436153 379242041715 547794060255 986029308459 1643382180765 4930146542295