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242562634002260 = 2251113313270965207
BaseRepresentation
bin110111001001110000000011…
…101000101010111101010100
31011210211202120000112121122222
4313021300003220222331110
5223243121233301033020
62215515422530041512
7102043400123112455
oct6711600350527524
91153752500477588
10242562634002260
1170319265332630
122325631b419298
13a5467345b2470
1443c81463d912c
151d099264b9b25
hexdc9c03a2af54

242562634002260 has 96 divisors (see below), whose sum is σ = 600346179401472. Its totient is φ = 81159498501120.

The previous prime is 242562634002239. The next prime is 242562634002289. The reversal of 242562634002260 is 62200436265242.

It is a super-2 number, since 2×2425626340022602 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134587424 + ... + 136377783.

It is an arithmetic number, because the mean of its divisors is an integer number (6253606035432).

Almost surely, 2242562634002260 is an apocalyptic number.

242562634002260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242562634002260 is an abundant number, since it is smaller than the sum of its proper divisors (357783545399212).

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

242562634002260 is a wasteful number, since it uses less digits than its factorization.

242562634002260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270965553 (or 270965551 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 44.

The spelling of 242562634002260 in words is "two hundred forty-two trillion, five hundred sixty-two billion, six hundred thirty-four million, two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 313 572 626 715 1252 1430 1565 2860 3130 3443 4069 6260 6886 8138 13772 16276 17215 20345 34430 40690 44759 68860 81380 89518 179036 223795 447590 895180 270965207 541930414 1083860828 1354826035 2709652070 2980617277 3522547691 5419304140 5961234554 7045095382 11922469108 14090190764 14903086385 17612738455 29806172770 35225476910 38748024601 59612345540 70450953820 77496049202 84812109791 154992098404 169624219582 193740123005 339248439164 387480246010 424060548955 774960492020 848121097910 932933207701 1102557427283 1696242195820 1865866415402 2205114854566 3731732830804 4410229709132 4664666038505 5512787136415 9329332077010 11025574272830 12128131700113 18658664154020 22051148545660 24256263400226 48512526800452 60640658500565 121281317001130 242562634002260