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537117153540 = 2235112359206081
BaseRepresentation
bin1111101000011101010…
…11010101100100000100
31220100101121200110211220
413310032223111210010
532300003442403130
61050425340400340
753543156322102
oct7641653254404
91810347613756
10537117153540
111978766a3300
128811b5460b0
133b85ab87216
141bdd49a2c72
15de894b8410
hex7d0ead5904

537117153540 has 144 divisors (see below), whose sum is σ = 1657690634880. Its totient is φ = 129846886400.

The previous prime is 537117153527. The next prime is 537117153541. The reversal of 537117153540 is 45351711735.

It is a junction number, because it is equal to n+sod(n) for n = 537117153492 and 537117153501.

It is not an unprimeable number, because it can be changed into a prime (537117153541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2503300 + ... + 2709380.

It is an arithmetic number, because the mean of its divisors is an integer number (11511740520).

Almost surely, 2537117153540 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 537117153540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828845317440).

537117153540 is an abundant number, since it is smaller than the sum of its proper divisors (1120573481340).

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

537117153540 is a wasteful number, since it uses less digits than its factorization.

537117153540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206474 (or 206461 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 42.

The spelling of 537117153540 in words is "five hundred thirty-seven billion, one hundred seventeen million, one hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 359 363 484 605 660 718 726 1077 1210 1436 1452 1795 1815 2154 2420 3590 3630 3949 4308 5385 7180 7260 7898 10770 11847 15796 19745 21540 23694 39490 43439 47388 59235 78980 86878 118470 130317 173756 206081 217195 236940 260634 412162 434390 521268 618243 651585 824324 868780 1030405 1236486 1303170 2060810 2266891 2472972 2606340 3091215 4121620 4533782 6182430 6800673 9067564 11334455 12364860 13601346 22668910 24935801 27202692 34003365 45337820 49871602 68006730 73983079 74807403 99743204 124679005 136013460 147966158 149614806 221949237 249358010 295932316 299229612 369915395 374037015 443898474 498716020 739830790 748074030 813813869 887796948 1109746185 1479661580 1496148060 1627627738 2219492370 2441441607 3255255476 4069069345 4438984740 4882883214 8138138690 8951952559 9765766428 12207208035 16276277380 17903905118 24414416070 26855857677 35807810236 44759762795 48828832140 53711715354 89519525590 107423430708 134279288385 179039051180 268558576770 537117153540