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66107202417 = 32191632371729
BaseRepresentation
bin111101100100010010…
…111101101101110001
320022122010100211111100
4331210102331231301
52040341420434132
650211430435013
74530124643364
oct754422755561
9208563324440
1066107202417
1126043879693
121098b202a69
136306abbb29
1432b1a0a0db
151abd9b437c
hexf644bdb71

66107202417 has 24 divisors (see below), whose sum is σ = 101130567200. Its totient is φ = 41495753088.

The previous prime is 66107202407. The next prime is 66107202433. The reversal of 66107202417 is 71420270166.

66107202417 is a `hidden beast` number, since 6 + 610 + 7 + 2 + 0 + 24 + 17 = 666.

It is not a de Polignac number, because 66107202417 - 27 = 66107202289 is a prime.

It is a super-2 number, since 2×661072024172 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66107202407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157992 + ... + 1213737.

Almost surely, 266107202417 is an apocalyptic number.

It is an amenable number.

66107202417 is a deficient number, since it is larger than the sum of its proper divisors (35023364783).

66107202417 is a wasteful number, since it uses less digits than its factorization.

66107202417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371917 (or 2371914 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

It can be divided in two parts, 6610 and 7202417, that added together give a palindrome (7209027).

The spelling of 66107202417 in words is "sixty-six billion, one hundred seven million, two hundred two thousand, four hundred seventeen".

Divisors: 1 3 9 19 57 163 171 489 1467 3097 9291 27873 2371729 7115187 21345561 45062851 135188553 386591827 405565659 1159775481 3479326443 7345244713 22035734139 66107202417