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542261412342260 = 2251317839719877669
BaseRepresentation
bin111101101001011110001001…
…0110110111010100111110100
32122002222200111011210102022022
41323102330102312322213310
51032033402333024423020
65201143242004452312
7222135044210000222
oct17322742266724764
92562880434712268
10542261412342260
111478658565a5596
1250999a899aa098
131a376054a4c330
1497c9841761b12
1542a56e52a1625
hex1ed2f12dba9f4

542261412342260 has 384 divisors, whose sum is σ = 1328516451924480. Its totient is φ = 184135552598016.

The previous prime is 542261412342259. The next prime is 542261412342271. The reversal of 542261412342260 is 62243214162245.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70708225706 + ... + 70708233374.

It is an arithmetic number, because the mean of its divisors is an integer number (3459678260220).

Almost surely, 2542261412342260 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 542261412342260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664258225962240).

542261412342260 is an abundant number, since it is smaller than the sum of its proper divisors (786255039582220).

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

542261412342260 is a wasteful number, since it uses less digits than its factorization.

542261412342260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9875 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 44.

The spelling of 542261412342260 in words is "five hundred forty-two trillion, two hundred sixty-one billion, four hundred twelve million, three hundred forty-two thousand, two hundred sixty".