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66748355384766 = 23111778356871097
BaseRepresentation
bin11110010110101000100000…
…00000110001010110111110
322202100002011122121112020220
433023110100000301112332
532222101112434303031
6353543434322322210
720026260320316366
oct1713242000612676
9282302148545226
1066748355384766
111a2a4900541460
1275a03411b9366
132b3245c490a13
14126a8cd9719a6
157ab427dc4596
hex3cb5100315be

66748355384766 has 32 divisors (see below), whose sum is σ = 145640967383808. Its totient is φ = 20225636581440.

The previous prime is 66748355384731. The next prime is 66748355384869.

66748355384766 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66748355384691 and 66748355384700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27261871 + ... + 29609226.

It is an arithmetic number, because the mean of its divisors is an integer number (4551280230744).

Almost surely, 266748355384766 is an apocalyptic number.

66748355384766 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66748355384766 is an abundant number, since it is smaller than the sum of its proper divisors (78892611999042).

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

66748355384766 is a wasteful number, since it uses less digits than its factorization.

66748355384766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56888896.

The product of its digits is 14631321600, while the sum is 78.

The spelling of 66748355384766 in words is "sixty-six trillion, seven hundred forty-eight billion, three hundred fifty-five million, three hundred eighty-four thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 17783 35566 53349 106698 195613 391226 586839 1173678 56871097 113742194 170613291 341226582 625582067 1251164134 1876746201 3753492402 1011338717951 2022677435902 3034016153853 6068032307706 11124725897461 22249451794922 33374177692383 66748355384766