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242766401603552 = 2589494317244793
BaseRepresentation
bin110111001100101101110101…
…001000011000011111100000
31011211120020111221020021111222
4313030231311020120133200
5223304441042302303202
62220153202324554212
7102064202513130011
oct6714556510303740
91154506457207458
10242766401603552
117039771a886402
1223289908852968
13a55ca09333cc8
1443d3d56a17008
151d0eda05aa4a2
hexdccb752187e0

242766401603552 has 48 divisors (see below), whose sum is σ = 483414342909120. Its totient is φ = 119995056986112.

The previous prime is 242766401603447. The next prime is 242766401603669. The reversal of 242766401603552 is 255306104667242.

242766401603552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242766401603494 and 242766401603503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5455268 + ... + 22700060.

It is an arithmetic number, because the mean of its divisors is an integer number (10071132143940).

Almost surely, 2242766401603552 is an apocalyptic number.

It is an amenable number.

242766401603552 is a deficient number, since it is larger than the sum of its proper divisors (240647941305568).

242766401603552 is a wasteful number, since it uses less digits than its factorization.

242766401603552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17249835 (or 17249827 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 53.

The spelling of 242766401603552 in words is "two hundred forty-two trillion, seven hundred sixty-six billion, four hundred one million, six hundred three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 89 178 356 712 1424 2848 4943 9886 19772 39544 79088 158176 439927 879854 1759708 3519416 7038832 14077664 17244793 34489586 68979172 137958344 275916688 551833376 1534786577 3069573154 6139146308 12278292616 24556585232 49113170464 85241011799 170482023598 340964047196 681928094392 1363856188784 2727712377568 7586450050111 15172900100222 30345800200444 60691600400888 121383200801776 242766401603552