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354061006705 = 5779128050997
BaseRepresentation
bin1010010011011111010…
…11100011011101110001
31020211220010020201021201
411021233223203131301
521300104104203310
6430353044051201
734402650620650
oct5115753433561
91224803221251
10354061006705
1112717a23183a
1258752393b01
1327507030283
14131cad47197
159323829e3a
hex526fae3771

354061006705 has 16 divisors (see below), whose sum is σ = 491715832320. Its totient is φ = 239711464512.

The previous prime is 354061006667. The next prime is 354061006801. The reversal of 354061006705 is 507600160453.

It is a cyclic number.

It is not a de Polignac number, because 354061006705 - 229 = 353524135793 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 64022734 + ... + 64028263.

It is an arithmetic number, because the mean of its divisors is an integer number (30732239520).

Almost surely, 2354061006705 is an apocalyptic number.

354061006705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

354061006705 is a deficient number, since it is larger than the sum of its proper divisors (137654825615).

354061006705 is a wasteful number, since it uses less digits than its factorization.

354061006705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128051088.

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 354061006705 in words is "three hundred fifty-four billion, sixty-one million, six thousand, seven hundred five".

Divisors: 1 5 7 35 79 395 553 2765 128050997 640254985 896356979 4481784895 10116028763 50580143815 70812201341 354061006705