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64055355355046 = 211731372291271317
BaseRepresentation
bin11101001000010000011001…
…01100111010111110100110
322101210122001211221121120102
432210020030230322332212
531343440331432330141
6344122342441504102
716330563263621366
oct1644101454727646
9271718054847512
1064055355355046
11194567a61a6290
127226434aa2032
132998517a84c83
1411b641d72a9a6
1576136064e99b
hex3a420cb3afa6

64055355355046 has 64 divisors (see below), whose sum is σ = 107496751164480. Its totient is φ = 28383095900160.

The previous prime is 64055355355021. The next prime is 64055355355091.

64055355355046 is nontrivially palindromic in base 10.

64055355355046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×640553553550462 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 64055355354982 and 64055355355000.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 49749380 + ... + 51020696.

It is an arithmetic number, because the mean of its divisors is an integer number (1679636736945).

Almost surely, 264055355355046 is an apocalyptic number.

64055355355046 is a deficient number, since it is larger than the sum of its proper divisors (43441395809434).

64055355355046 is a wasteful number, since it uses less digits than its factorization.

64055355355046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271769.

The product of its (nonzero) digits is 81000000, while the sum is 56.

The spelling of 64055355355046 in words is "sixty-four trillion, fifty-five billion, three hundred fifty-five million, three hundred fifty-five thousand, forty-six".

Divisors: 1 2 11 22 73 137 146 229 274 458 803 1507 1606 2519 3014 5038 10001 16717 20002 31373 33434 62746 110011 183887 220022 345103 367774 690206 1271317 2290229 2542634 4580458 13984487 25192519 27968974 50385038 92806141 174170429 185612282 291131593 348340858 582263186 1020867551 1915874719 2041735102 3202447523 3831749438 6404895046 12714441317 21252606289 25428882634 39885028241 42505212578 79770056482 139858854487 233778669179 279717708974 438735310651 467557338358 877470621302 2911607061593 5823214123186 32027677677523 64055355355046