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63143653346406 = 23212163328840699
BaseRepresentation
bin11100101101101110001110…
…00001110000110001100110
322021120110210202202220021200
432112313013001300301212
531234021200224041111
6342143443251423330
716204656410456523
oct1626670701606146
9267513722686250
1063143653346406
1119135089187176
1270b97b58b4b46
132930561b0aac9
14118425213614a
157477a0b16256
hex396dc7070c66

63143653346406 has 24 divisors (see below), whose sum is σ = 136812378448200. Its totient is φ = 21047710674816.

The previous prime is 63143653346341. The next prime is 63143653346429. The reversal of 63143653346406 is 60464335634136.

63143653346406 is a `hidden beast` number, since 6 + 3 + 1 + 43 + 6 + 533 + 4 + 64 + 0 + 6 = 666.

63143653346406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 12230956 + ... + 16609743.

It is an arithmetic number, because the mean of its divisors is an integer number (5700515768675).

Almost surely, 263143653346406 is an apocalyptic number.

63143653346406 is an abundant number, since it is smaller than the sum of its proper divisors (73668725101794).

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

63143653346406 is a wasteful number, since it uses less digits than its factorization.

63143653346406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28962340 (or 28962337 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 54.

The spelling of 63143653346406 in words is "sixty-three trillion, one hundred forty-three billion, six hundred fifty-three million, three hundred forty-six thousand, four hundred six".

Divisors: 1 2 3 6 9 18 121633 243266 364899 729798 1094697 2189394 28840699 57681398 86522097 173044194 259566291 519132582 3507980741467 7015961482934 10523942224401 21047884448802 31571826673203 63143653346406