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42567784768 = 262512649887
BaseRepresentation
bin100111101001001111…
…001101100101000000
311001212121210112000001
4213221033031211000
51144134323103033
631315543205344
73034604125525
oct475117154500
9131777715001
1042567784768
111706444a813
1282bba46854
134025056132
1420bb62514c
151192151e7d
hex9e93cd940

42567784768 has 28 divisors (see below), whose sum is σ = 84807015552. Its totient is φ = 21199088000.

The previous prime is 42567784751. The next prime is 42567784771. The reversal of 42567784768 is 86748776524.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1308880 + ... + 1341007.

It is an arithmetic number, because the mean of its divisors is an integer number (3028821984).

Almost surely, 242567784768 is an apocalyptic number.

It is an amenable number.

42567784768 is a deficient number, since it is larger than the sum of its proper divisors (42239230784).

42567784768 is a wasteful number, since it uses less digits than its factorization.

42567784768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650150 (or 2650140 counting only the distinct ones).

The product of its digits is 126443520, while the sum is 64.

The spelling of 42567784768 in words is "forty-two billion, five hundred sixty-seven million, seven hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 251 502 1004 2008 4016 8032 16064 2649887 5299774 10599548 21199096 42398192 84796384 169592768 665121637 1330243274 2660486548 5320973096 10641946192 21283892384 42567784768