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66712121775 = 3352137602521
BaseRepresentation
bin111110001000010110…
…100011000110101111
320101012021121220212000
4332020112203012233
52043111300344100
650351440143343
74551121451565
oct761026430657
9211167556760
1066712121775
1126324287542
1210b19907b53
1363a221a890
14332c0b3a35
151b06b54900
hexf885a31af

66712121775 has 48 divisors (see below), whose sum is σ = 131979781920. Its totient is φ = 32842886400.

The previous prime is 66712121753. The next prime is 66712121813. The reversal of 66712121775 is 57712121766.

It is not a de Polignac number, because 66712121775 - 28 = 66712121519 is a prime.

It is a super-3 number, since 3×667121217753 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 66712121775.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3792486 + ... + 3810035.

It is an arithmetic number, because the mean of its divisors is an integer number (2749578790).

Almost surely, 266712121775 is an apocalyptic number.

66712121775 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66712121775 is a deficient number, since it is larger than the sum of its proper divisors (65267660145).

66712121775 is a wasteful number, since it uses less digits than its factorization.

66712121775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7602553 (or 7602542 counting only the distinct ones).

The product of its digits is 246960, while the sum is 45.

Subtracting from 66712121775 its reverse (57712121766), we obtain a palindrome (9000000009).

The spelling of 66712121775 in words is "sixty-six billion, seven hundred twelve million, one hundred twenty-one thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 135 195 225 325 351 585 675 975 1755 2925 8775 7602521 22807563 38012605 68422689 98832773 114037815 190063025 205268067 296498319 342113445 494163865 570189075 889494957 1026340335 1482491595 1710567225 2470819325 2668484871 4447474785 5131701675 7412457975 13342424355 22237373925 66712121775