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486013531872312 = 23344635557291509
BaseRepresentation
bin110111010000001101101011…
…1111011000101110000111000
32100201211102212200021000210000
41232200123113323011300320
51002200321203124403222
64441355311221353000
7204241214251433013
oct15640332773056070
92321742780230700
10486013531872312
1113094a1aa439134
1246614818568760
1317b25b58075aa2
14880327524837a
153b2c4d99b39ac
hex1ba06d7ec5c38

486013531872312 has 160 divisors (see below), whose sum is σ = 1364478226372800. Its totient is φ = 161624964162816.

The previous prime is 486013531872311. The next prime is 486013531872331. The reversal of 486013531872312 is 213278135310684.

486013531872312 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 1 + 3 + 5 + 318 + 7 + 2 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486013531872311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1667087614 + ... + 1667379122.

It is an arithmetic number, because the mean of its divisors is an integer number (8527988914830).

Almost surely, 2486013531872312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486013531872312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682239113186400).

486013531872312 is an abundant number, since it is smaller than the sum of its proper divisors (878464694500488).

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

486013531872312 is a wasteful number, since it uses less digits than its factorization.

486013531872312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297547 (or 297534 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 486013531872312 in words is "four hundred eighty-six trillion, thirteen billion, five hundred thirty-one million, eight hundred seventy-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 463 648 926 1389 1852 2778 3704 4167 5556 5557 8334 11112 11114 12501 16668 16671 22228 25002 33336 33342 37503 44456 50004 50013 66684 75006 100008 100026 133368 150012 150039 200052 291509 300024 300078 400104 450117 583018 600156 874527 900234 1166036 1200312 1749054 1800468 2332072 2572891 2623581 3498108 3600936 5145782 5247162 6996216 7718673 7870743 10291564 10494324 15437346 15741486 20583128 20988648 23156019 23612229 30874692 31482972 46312038 47224458 61749384 62965944 69468057 92624076 94448916 134968667 138936114 185248152 188897832 208404171 269937334 277872228 404906001 416808342 539874668 555744456 809812002 833616684 1079749336 1214718003 1619624004 1619915513 1667233368 2429436006 3239248008 3239831026 3644154009 4858872012 4859746539 6479662052 7288308018 9717744024 9719493078 10932462027 12959324104 14576616036 14579239617 19438986156 21864924054 29153232072 29158479234 38877972312 43729848108 43737718851 58316958468 87459696216 87475437702 116633916936 131213156553 174950875404 262426313106 349901750808 524852626212 750020882519 1049705252424 1500041765038 2250062647557 3000083530076 4500125295114 6000167060152 6750187942671 9000250590228 13500375885342 18000501180456 20250563828013 27000751770684 40501127656026 54001503541368 60751691484039 81002255312052 121503382968078 162004510624104 243006765936156 486013531872312