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542212714303416 = 2333131278231184721
BaseRepresentation
bin111101101001000111011110…
…0001110101000111110111000
32122002211000210022211201122000
41323102032330032220332320
51032032103114330202131
65201105025432501000
7222131401344333462
oct17322167416507670
92562730708751560
10542212714303416
1114784713684a1a2
1250990558b4a760
131a371593953130
1497c7341d03132
1542a42e4d87ce6
hex1ed23bc3a8fb8

542212714303416 has 256 divisors, whose sum is σ = 1634982993100800. Its totient is φ = 165500016998400.

The previous prime is 542212714303399. The next prime is 542212714303427. The reversal of 542212714303416 is 614303417212245.

542212714303416 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 1 + 271 + 4 + 30 + 341 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2935213936 + ... + 2935398656.

It is an arithmetic number, because the mean of its divisors is an integer number (6386652316800).

Almost surely, 2542212714303416 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 542212714303416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817491496550400).

542212714303416 is an abundant number, since it is smaller than the sum of its proper divisors (1092770278797384).

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

542212714303416 is a wasteful number, since it uses less digits than its factorization.

542212714303416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193107 (or 193097 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 542212714303416 in words is "five hundred forty-two trillion, two hundred twelve billion, seven hundred fourteen million, three hundred three thousand, four hundred sixteen".