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66830738413256 = 2353349451632281
BaseRepresentation
bin11110011001000001111100…
…11011000101011011001000
322202121221211001210222210022
433030200332123011123020
532224423323013211011
6354045341204440012
720035234666441046
oct1714407633053310
9282557731728708
1066830738413256
111a326836619074
1275b42b30a9008
132b3a15b21b65c
1412708a6dcd396
157ad64a6b58db
hex3cc83e6c56c8

66830738413256 has 32 divisors (see below), whose sum is σ = 128037751947000. Its totient is φ = 32690950955520.

The previous prime is 66830738413207. The next prime is 66830738413279. The reversal of 66830738413256 is 65231483703866.

66830738413256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 66815354972356 + 15383440900 = 8174066^2 + 124030^2 .

It is a super-2 number, since 2×668307384132562 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225668165 + ... + 225964116.

Almost surely, 266830738413256 is an apocalyptic number.

It is an amenable number.

66830738413256 is a deficient number, since it is larger than the sum of its proper divisors (61207013533744).

66830738413256 is a wasteful number, since it uses less digits than its factorization.

66830738413256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451632689 (or 451632685 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 62.

The spelling of 66830738413256 in words is "sixty-six trillion, eight hundred thirty billion, seven hundred thirty-eight million, four hundred thirteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 53 106 212 349 424 698 1396 2792 18497 36994 73988 147976 451632281 903264562 1806529124 3613058248 23936510893 47873021786 95746043572 157619666069 191492087144 315239332138 630478664276 1260957328552 8353842301657 16707684603314 33415369206628 66830738413256