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345064643065665 = 3358951285558529
BaseRepresentation
bin100111001110101011001111…
…1011110010111011101000001
31200020202212011021022201001000
41032131112133132113131001
5330212014342111100130
63221520301510202213
7132453045350353245
oct11635263736273501
91606685137281030
10345064643065665
119aa48103215066
123284ba0a953369
1311a705c1409043
14612d309a58425
1529d5dcae4d260
hex139d59f797741

345064643065665 has 32 divisors (see below), whose sum is σ = 613516790534400. Its totient is φ = 184013915443200.

The previous prime is 345064643065619. The next prime is 345064643065691. The reversal of 345064643065665 is 566560346460543.

345064643065665 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 6 + 4 + 64 + 3 + 0 + 6 + 566 + 5 = 666.

It is not a de Polignac number, because 345064643065665 - 245 = 309880270976833 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141570880 + ... + 143987649.

It is an arithmetic number, because the mean of its divisors is an integer number (19172399704200).

Almost surely, 2345064643065665 is an apocalyptic number.

It is an amenable number.

345064643065665 is a deficient number, since it is larger than the sum of its proper divisors (268452147468735).

345064643065665 is a wasteful number, since it uses less digits than its factorization.

345064643065665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285567494 (or 285567488 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 63.

The spelling of 345064643065665 in words is "three hundred forty-five trillion, sixty-four billion, six hundred forty-three million, sixty-five thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 135 8951 26853 44755 80559 134265 241677 402795 1208385 285558529 856675587 1427792645 2570026761 4283377935 7710080283 12850133805 38550401415 2556034393079 7668103179237 12780171965395 23004309537711 38340515896185 69012928613133 115021547688555 345064643065665