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542406061460 = 225732389155509
BaseRepresentation
bin1111110010010011110…
…10111010110110010100
31220212001012200211120102
413321021322322312110
532341321422431320
61053102232153232
754121220310524
oct7711172726624
91825035624512
10542406061460
1119a04009908a
1289156838818
133c1c182bc33
141c37718b684
15e19898c175
hex7e49ebad94

542406061460 has 48 divisors (see below), whose sum is σ = 1155146941200. Its totient is φ = 213899387904.

The previous prime is 542406061447. The next prime is 542406061517. The reversal of 542406061460 is 64160604245.

It can be written as a sum of positive squares in 8 ways, for example, as 5741395984 + 536664665476 = 75772^2 + 732574^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3410186 + ... + 3565694.

It is an arithmetic number, because the mean of its divisors is an integer number (24065561275).

Almost surely, 2542406061460 is an apocalyptic number.

It is an amenable number.

542406061460 is an abundant number, since it is smaller than the sum of its proper divisors (612740879740).

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

542406061460 is a wasteful number, since it uses less digits than its factorization.

542406061460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157980 (or 157978 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 542406061460 in words is "five hundred forty-two billion, four hundred six million, sixty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 2389 4778 9556 11945 23890 47780 155509 174397 311018 348794 622036 697588 777545 871985 1555090 1743970 3110180 3487940 11352157 22704314 45408628 56760785 113521570 227043140 371511001 743022002 1486044004 1857555005 3715110010 7430220020 27120303073 54240606146 108481212292 135601515365 271203030730 542406061460