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60242312357620 = 225293725710922921
BaseRepresentation
bin11011011001010010000011…
…01000001110011011110100
321220022002221022211200021221
431230221001220032123310
530344002223430420440
6332042534121120124
715455235442123561
oct1554510150163364
9256262838750257
1060242312357620
11182166918a28a8
12690b444629044
13277ca97030a63
1410c3a5a14d868
156e7092a21d4a
hex36ca41a0e6f4

60242312357620 has 96 divisors (see below), whose sum is σ = 134931292382880. Its totient is φ = 22549101281280.

The previous prime is 60242312357611. The next prime is 60242312357621. The reversal of 60242312357620 is 2675321324206.

It can be written as a sum of positive squares in 16 ways, for example, as 2518968939876 + 57723343417744 = 1587126^2 + 7597588^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60242312357621) 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, 53760 + ... + 10976680.

It is an arithmetic number, because the mean of its divisors is an integer number (1405534295655).

Almost surely, 260242312357620 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 60242312357620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67465646191440).

60242312357620 is an abundant number, since it is smaller than the sum of its proper divisors (74688980025260).

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

60242312357620 is a wasteful number, since it uses less digits than its factorization.

60242312357620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10923253 (or 10923251 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 60242312357620 in words is "sixty trillion, two hundred forty-two billion, three hundred twelve million, three hundred fifty-seven thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 29 37 58 74 116 145 148 185 257 290 370 514 580 740 1028 1073 1285 2146 2570 4292 5140 5365 7453 9509 10730 14906 19018 21460 29812 37265 38036 47545 74530 95090 149060 190180 275761 551522 1103044 1378805 2757610 5515220 10922921 21845842 43691684 54614605 109229210 218458420 316764709 404148077 633529418 808296154 1267058836 1583823545 1616592308 2020740385 2807190697 3167647090 4041480770 5614381394 6335294180 8082961540 11228762788 11720294233 14035953485 23440588466 28071906970 46881176932 56143813940 58601471165 81408530213 103866055789 117202942330 162817060426 207732111578 234405884660 325634120852 407042651065 415464223156 519330278945 814085302130 1038660557890 1628170604260 2077321115780 3012115617881 6024231235762 12048462471524 15060578089405 30121156178810 60242312357620