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66445411454466 = 231110211399704819
BaseRepresentation
bin11110001101110100001110…
…01001011000111000000010
322201021010012222011100100020
433012322013021120320002
532202120200313020331
6353152333422434310
716665344144355612
oct1706720711307002
9281233188140306
1066445411454466
111a1983825a0810
127551695a32996
132b0ca1077c925
141259d91860a42
157a35e7049c96
hex3c6e87258e02

66445411454466 has 64 divisors (see below), whose sum is σ = 145217729664000. Its totient is φ = 20100845505600.

The previous prime is 66445411454419. The next prime is 66445411454501.

66445411454466 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93920605 + ... + 94625423.

It is an arithmetic number, because the mean of its divisors is an integer number (2269027026000).

Almost surely, 266445411454466 is an apocalyptic number.

66445411454466 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66445411454466 is an abundant number, since it is smaller than the sum of its proper divisors (78772318209534).

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

66445411454466 is a wasteful number, since it uses less digits than its factorization.

66445411454466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707255.

The product of its digits is 132710400, while the sum is 60.

The spelling of 66445411454466 in words is "sixty-six trillion, four hundred forty-five billion, four hundred eleven million, four hundred fifty-four thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 1021 1399 2042 2798 3063 4197 6126 8394 11231 15389 22462 30778 33693 46167 67386 92334 704819 1409638 1428379 2114457 2856758 4228914 4285137 7753009 8570274 15506018 15712169 23259027 31424338 46518054 47136507 94273014 719620199 986041781 1439240398 1972083562 2158860597 2958125343 4317721194 5916250686 7915822189 10846459591 15831644378 21692919182 23747466567 32539378773 47494933134 65078757546 1006748658401 2013497316802 3020245975203 6040491950406 11074235242411 22148470484822 33222705727233 66445411454466