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542067260364531 = 321110774135082013
BaseRepresentation
bin111101101000000011101111…
…0011111111001011011110011
32122002022010100101121001020100
41323100013132133321123303
51032022212222123131111
65200514132302043443
7222115032016263636
oct17320073637713363
92562263311531210
10542067260364531
111477a04858a2050
1250968324879583
131a360953186a85
1497c02a420bc1d
1542a0630444756
hex1ed01de7f96f3

542067260364531 has 24 divisors (see below), whose sum is σ = 854167552960176. Its totient is φ = 328525242776640.

The previous prime is 542067260364529. The next prime is 542067260364533. The reversal of 542067260364531 is 135463062760245.

542067260364531 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 6 + 72 + 6 + 0 + 36 + 4 + 531 = 666.

It is an interprime number because it is at equal distance from previous prime (542067260364529) and next prime (542067260364533).

It is not a de Polignac number, because 542067260364531 - 21 = 542067260364529 is a prime.

It is a super-2 number, since 2×5420672603645312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (542067260364533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104122881 + ... + 109204893.

It is an arithmetic number, because the mean of its divisors is an integer number (35590314706674).

Almost surely, 2542067260364531 is an apocalyptic number.

542067260364531 is a deficient number, since it is larger than the sum of its proper divisors (312100292595645).

542067260364531 is a wasteful number, since it uses less digits than its factorization.

542067260364531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159443 (or 6159440 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 542067260364531 in words is "five hundred forty-two trillion, sixty-seven billion, two hundred sixty million, three hundred sixty-four thousand, five hundred thirty-one".

Divisors: 1 3 9 11 33 99 1077413 3232239 5082013 9696717 11851543 15246039 35554629 45738117 55902143 106663887 167706429 503119287 5475426872369 16426280617107 49278841851321 60229695596059 180689086788177 542067260364531