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242646268060 = 22574172758147
BaseRepresentation
bin1110000111111011011…
…0000011100010011100
3212012022102202120100001
43201332312003202130
512433414421034220
6303245315344044
723350000151020
oct3417666034234
9765272676301
10242646268060
11939a6546639
123b0398b2024
1319b5c6c4211
14ba5bcd6380
1564a242a80a
hex387ed8389c

242646268060 has 96 divisors (see below), whose sum is σ = 597385571328. Its totient is φ = 81050872320.

The previous prime is 242646268027. The next prime is 242646268061. The reversal of 242646268060 is 60862646242.

It is a super-2 number, since 2×2426462680602 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242646268060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242646268061) 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, 4143907 + ... + 4202053.

It is an arithmetic number, because the mean of its divisors is an integer number (6222766368).

Almost surely, 2242646268060 is an apocalyptic number.

242646268060 is a gapful number since it is divisible by the number (20) 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 242646268060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298692785664).

242646268060 is an abundant number, since it is smaller than the sum of its proper divisors (354739303268).

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

242646268060 is a wasteful number, since it uses less digits than its factorization.

242646268060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58931 (or 58929 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 242646268060 in words is "two hundred forty-two billion, six hundred forty-six million, two hundred sixty-eight thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 727 820 1148 1435 1454 2870 2908 3635 5089 5740 7270 10178 14540 20356 25445 29807 50890 58147 59614 101780 116294 119228 149035 208649 232588 290735 298070 407029 417298 581470 596140 814058 834596 1043245 1162940 1628116 2035145 2086490 2384027 4070290 4172980 4768054 8140580 9536108 11920135 16688189 23840270 33376378 42272869 47680540 66752756 83440945 84545738 166881890 169091476 211364345 295910083 333763780 422728690 591820166 845457380 1183640332 1479550415 1733187629 2959100830 3466375258 5918201660 6932750516 8665938145 12132313403 17331876290 24264626806 34663752580 48529253612 60661567015 121323134030 242646268060