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135247797360 = 24335134816517
BaseRepresentation
bin111110111110101100…
…1011001110001110000
3110221002122120222021000
41331331121121301300
54203441414003420
6142044301402000
712525365211054
oct1757531316160
9427078528230
10135247797360
11523a3945a45
1222266269300
13c9a5184380
146790431c64
1537b8916690
hex1f7d659c70

135247797360 has 160 divisors (see below), whose sum is σ = 501688514880. Its totient is φ = 33291758592.

The previous prime is 135247797343. The next prime is 135247797361. The reversal of 135247797360 is 63797742531.

135247797360 is a `hidden beast` number, since 1 + 3 + 52 + 477 + 97 + 36 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 135247797297 and 135247797306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135247797361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2380179 + ... + 2436338.

It is an arithmetic number, because the mean of its divisors is an integer number (3135553218).

Almost surely, 2135247797360 is an apocalyptic number.

135247797360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135247797360 is an abundant number, since it is smaller than the sum of its proper divisors (366440717520).

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

135247797360 is a wasteful number, since it uses less digits than its factorization.

135247797360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816552 (or 4816540 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 135247797360 in words is "one hundred thirty-five billion, two hundred forty-seven million, seven hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 4816517 9633034 14449551 19266068 24082585 28899102 38532136 43348653 48165170 57798204 62614721 72247755 77064272 86697306 96330340 115596408 125229442 130045959 144495510 173394612 187844163 192660680 216743265 231192816 250458884 260091918 288991020 313073605 346789224 375688326 385321360 433486530 500917768 520183836 563532489 577982040 626147210 650229795 693578448 751376652 866973060 939220815 1001835536 1040367672 1127064978 1155964080 1252294420 1300459590 1502753304 1690597467 1733946120 1878441630 2080735344 2254129956 2504588840 2600919180 2817662445 3005506608 3381194934 3467892240 3756883260 4508259912 5009177680 5201838360 5635324890 6762389868 7513766520 8452987335 9016519824 10403676720 11270649780 13524779736 15027533040 16905974670 22541299560 27049559472 33811949340 45082599120 67623898680 135247797360