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66166116864 = 29343076899
BaseRepresentation
bin111101100111110011…
…101101001000000000
320022210020012222220220
4331213303231020000
52041002011214424
650221333303040
74531441466541
oct754763551000
9208706188826
1066166116864
1126074058a11
12109a6a94a80
136316078953
1432b97844c8
151ac3c50579
hexf67ced200

66166116864 has 40 divisors (see below), whose sum is σ = 176270674800. Its totient is φ = 22055371776.

The previous prime is 66166116859. The next prime is 66166116911. The reversal of 66166116864 is 46861166166.

66166116864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21536914 + ... + 21539985.

It is an arithmetic number, because the mean of its divisors is an integer number (4406766870).

Almost surely, 266166116864 is an apocalyptic number.

66166116864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66166116864 is an abundant number, since it is smaller than the sum of its proper divisors (110104557936).

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

66166116864 is an equidigital number, since it uses as much as digits as its factorization.

66166116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43076920 (or 43076904 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The spelling of 66166116864 in words is "sixty-six billion, one hundred sixty-six million, one hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 43076899 86153798 129230697 172307596 258461394 344615192 516922788 689230384 1033845576 1378460768 2067691152 2756921536 4135382304 5513843072 8270764608 11027686144 16541529216 22055372288 33083058432 66166116864