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63134043136 = 210101610439
BaseRepresentation
bin111010110011000101…
…010000110000000000
320000221220211200200221
4322303011100300000
52013244303340021
645000421352424
74363343340463
oct726305206000
9200856750627
1063134043136
112485858105a
121029b568714
135c51b44598
1430acbcd2da
151997973241
hexeb3150c00

63134043136 has 44 divisors (see below), whose sum is σ = 127456209360. Its totient is φ = 31254425600.

The previous prime is 63134043107. The next prime is 63134043149.

63134043136 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 201796 + ... + 408643.

Almost surely, 263134043136 is an apocalyptic number.

It is an amenable number.

63134043136 is an abundant number, since it is smaller than the sum of its proper divisors (64322166224).

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

63134043136 is a wasteful number, since it uses less digits than its factorization.

63134043136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610560 (or 610542 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

It can be divided in two parts, 631340 and 43136, that added together give a palindrome (674476).

The spelling of 63134043136 in words is "sixty-three billion, one hundred thirty-four million, forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1024 1616 3232 6464 12928 25856 51712 103424 610439 1220878 2441756 4883512 9767024 19534048 39068096 61654339 78136192 123308678 156272384 246617356 312544768 493234712 625089536 986469424 1972938848 3945877696 7891755392 15783510784 31567021568 63134043136