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67648466484676 = 22711219637878197
BaseRepresentation
bin11110110000110101000101…
…10100000111110111000100
322212112010111221110001220201
433120122202310013313010
532331323024410002201
6355513135415140244
720151304030402360
oct1730324264076704
9285463457401821
1067648466484676
111a61160a814260
127706886674684
132b992b8c789cc
14129c2bb9d82a0
157c4a5a049801
hex3d86a2d07dc4

67648466484676 has 24 divisors (see below), whose sum is σ = 147596654149056. Its totient is φ = 26356545383520.

The previous prime is 67648466484659. The next prime is 67648466484751.

67648466484676 is nontrivially palindromic in base 10.

67648466484676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 67648466484676.

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, 109818938791 + ... + 109818939406.

It is an arithmetic number, because the mean of its divisors is an integer number (6149860589544).

Almost surely, 267648466484676 is an apocalyptic number.

It is an amenable number.

67648466484676 is an abundant number, since it is smaller than the sum of its proper divisors (79948187664380).

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

67648466484676 is a wasteful number, since it uses less digits than its factorization.

67648466484676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219637878219 (or 219637878217 counting only the distinct ones).

The product of its digits is 37456183296, while the sum is 82.

The spelling of 67648466484676 in words is "sixty-seven trillion, six hundred forty-eight billion, four hundred sixty-six million, four hundred eighty-four thousand, six hundred seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 219637878197 439275756394 878551512788 1537465147379 2416016660167 3074930294758 4832033320334 6149860589516 9664066640668 16912116621169 33824233242338 67648466484676