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542512000340 = 22597279645361
BaseRepresentation
bin1111110010100000011…
…11000010110101010100
31220212022121001002101122
413321100033002311110
532342031033002330
61053120534543112
754123644626322
oct7712017026524
91825277032348
10542512000340
1119a094976582
1289186207a98
133c20a77196b
141c387286d12
15e1a2e165e5
hex7e503c2d54

542512000340 has 24 divisors (see below), whose sum is σ = 1151020309992. Its totient is φ = 214767636480.

The previous prime is 542512000339. The next prime is 542512000361. The reversal of 542512000340 is 43000215245.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1128019396 + 541383980944 = 33586^2 + 735788^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 139820741 + ... + 139824620.

It is an arithmetic number, because the mean of its divisors is an integer number (47959179583).

Almost surely, 2542512000340 is an apocalyptic number.

It is an amenable number.

542512000340 is an abundant number, since it is smaller than the sum of its proper divisors (608508309652).

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

542512000340 is a wasteful number, since it uses less digits than its factorization.

542512000340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279645467 (or 279645465 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 542512000340 its reverse (43000215245), we get a palindrome (585512215585).

The spelling of 542512000340 in words is "five hundred forty-two billion, five hundred twelve million, three hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 279645361 559290722 1118581444 1398226805 2796453610 5592907220 27125600017 54251200034 108502400068 135628000085 271256000170 542512000340