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63133433056 = 2523210336209
BaseRepresentation
bin111010110011000010…
…111011110011100000
320000221212200200211101
4322303002323303200
52013244124324211
645000400324144
74363335220021
oct726302736340
9200855620741
1063133433056
11248581a4761
121029b313654
135c5198c9a5
1430acab0c48
1519978a25c1
hexeb30bbce0

63133433056 has 72 divisors (see below), whose sum is σ = 131198099760. Its totient is φ = 29900276736.

The previous prime is 63133433053. The next prime is 63133433101. The reversal of 63133433056 is 65033433136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63133433053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1725480 + ... + 1761688.

It is an arithmetic number, because the mean of its divisors is an integer number (1822195830).

Almost surely, 263133433056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63133433056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65599049880).

63133433056 is an abundant number, since it is smaller than the sum of its proper divisors (68064666704).

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

63133433056 is a wasteful number, since it uses less digits than its factorization.

63133433056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36368 (or 36337 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 37.

The spelling of 63133433056 in words is "sixty-three billion, one hundred thirty-three million, four hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 23 32 46 92 103 184 206 368 412 529 736 824 1058 1648 2116 2369 3296 4232 4738 8464 9476 16928 18952 36209 37904 54487 72418 75808 108974 144836 217948 289672 435896 579344 832807 871792 1158688 1665614 1743584 3331228 3729527 6662456 7459054 13324912 14918108 19154561 26649824 29836216 38309122 59672432 76618244 85779121 119344864 153236488 171558242 306472976 343116484 612945952 686232968 1372465936 1972919783 2744931872 3945839566 7891679132 15783358264 31566716528 63133433056