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542304371916 = 2233195919323209
BaseRepresentation
bin1111110010000111101…
…11000000010011001100
31220211210010100110202000
413321003313000103030
532341114404400131
61053044200432300
754115544050536
oct7710367002314
91824703313660
10542304371916
11199a9875323a
1289128778690
133c1a67463c8
141c36787a856
15e18eaa1ce6
hex7e43dc04cc

542304371916 has 192 divisors, whose sum is σ = 1512920640000. Its totient is φ = 167471898624.

The previous prime is 542304371899. The next prime is 542304371923. The reversal of 542304371916 is 619173403245.

542304371916 is a `hidden beast` number, since 5 + 4 + 23 + 0 + 437 + 191 + 6 = 666.

It is a super-2 number, since 2×5423043719162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23354520 + ... + 23377728.

It is an arithmetic number, because the mean of its divisors is an integer number (7879795000).

Almost surely, 2542304371916 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 542304371916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756460320000).

542304371916 is an abundant number, since it is smaller than the sum of its proper divisors (970616268084).

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

542304371916 is a wasteful number, since it uses less digits than its factorization.

542304371916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23493 (or 23485 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 542304371916 in words is "five hundred forty-two billion, three hundred four million, three hundred seventy-one thousand, nine hundred sixteen".