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534101320536 = 233731191353609
BaseRepresentation
bin1111100010110101110…
…10110110001101011000
31220001121102212021201020
413301122322312031120
532222314414224121
61045210204522440
753405346214050
oct7613272661530
91801542767636
10534101320536
111965692a9333
1287619550420
133b49a11b154
141bbca238560
15dd5e8481c6
hex7c5aeb6358

534101320536 has 128 divisors (see below), whose sum is σ = 1576082534400. Its totient is φ = 147597834240.

The previous prime is 534101320499. The next prime is 534101320541. The reversal of 534101320536 is 635023101435.

It is a junction number, because it is equal to n+sod(n) for n = 534101320497 and 534101320506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9936100 + ... + 9989708.

It is an arithmetic number, because the mean of its divisors is an integer number (12313144800).

Almost surely, 2534101320536 is an apocalyptic number.

534101320536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534101320536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788041267200).

534101320536 is an abundant number, since it is smaller than the sum of its proper divisors (1041981213864).

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

534101320536 is a wasteful number, since it uses less digits than its factorization.

534101320536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55569 (or 55565 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 534101320536 in words is "five hundred thirty-four billion, one hundred one million, three hundred twenty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 1913 2604 3826 5208 5739 7652 11478 13391 15304 22956 26782 40173 45912 53564 53609 59303 80346 107128 107218 118606 160692 160827 177909 214436 237212 321384 321654 355818 375263 415121 428872 474424 643308 711636 750526 830242 1125789 1245363 1286616 1423272 1501052 1660484 1661879 2251578 2490726 3002104 3320968 3323758 4503156 4981452 4985637 6647516 9006312 9962904 9971274 11633153 13295032 19942548 23266306 34899459 39885096 46532612 69798918 93065224 102554017 139597836 205108034 279195672 307662051 410216068 615324102 717878119 820432136 1230648204 1435756238 2153634357 2461296408 2871512476 3179174527 4307268714 5743024952 6358349054 8614537428 9537523581 12716698108 17229074856 19075047162 22254221689 25433396216 38150094324 44508443378 66762665067 76300188648 89016886756 133525330134 178033773512 267050660268 534101320536