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66006166116 = 22311500046713
BaseRepresentation
bin111101011110010001…
…100010101001100100
320022101002020122202010
4331132101202221210
52040140034303431
650153421114220
74524460104042
oct753621425144
9208332218663
1066006166116
1125aa183a610
12109613b8970
1362bbba4737
1432a2429392
151ab4ba7846
hexf5e462a64

66006166116 has 24 divisors (see below), whose sum is σ = 168015695904. Its totient is φ = 20001868480.

The previous prime is 66006166091. The next prime is 66006166141. The reversal of 66006166116 is 61166160066.

It is a happy number.

66006166116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66006166091) and next prime (66006166141).

It is a super-3 number, since 3×660061661163 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250023225 + ... + 250023488.

It is an arithmetic number, because the mean of its divisors is an integer number (7000653996).

Almost surely, 266006166116 is an apocalyptic number.

66006166116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

66006166116 is an abundant number, since it is smaller than the sum of its proper divisors (102009529788).

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

66006166116 is a wasteful number, since it uses less digits than its factorization.

66006166116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500046731 (or 500046729 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

It can be divided in two parts, 6600 and 6166116, that added together give a palindrome (6172716).

The spelling of 66006166116 in words is "sixty-six billion, six million, one hundred sixty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 500046713 1000093426 1500140139 2000186852 3000280278 5500513843 6000560556 11001027686 16501541529 22002055372 33003083058 66006166116