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63383438336 = 210117152859
BaseRepresentation
bin111011000001111100…
…101000010000000000
320001121022010021121012
4323001330220100000
52014302130011321
645041251020052
74402462223261
oct730174502000
9201538107535
1063383438336
1124976331399
121034ab9a628
135c917048ca
1430d3d8c968
1519ae7d805b
hexec1f28400

63383438336 has 44 divisors (see below), whose sum is σ = 126815580240. Its totient is φ = 31664056320.

The previous prime is 63383438311. The next prime is 63383438351.

63383438336 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×633834383363 (a number of 33 digits) contains 333 as substring.

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, 1172675 + ... + 1225533.

Almost surely, 263383438336 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 63383438336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63407790120).

63383438336 is an abundant number, since it is smaller than the sum of its proper divisors (63432141904).

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

63383438336 is a wasteful number, since it uses less digits than its factorization.

63383438336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54050 (or 54032 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 50.

The spelling of 63383438336 in words is "sixty-three billion, three hundred eighty-three million, four hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1171 2342 4684 9368 18736 37472 52859 74944 105718 149888 211436 299776 422872 599552 845744 1199104 1691488 3382976 6765952 13531904 27063808 54127616 61897889 123795778 247591556 495183112 990366224 1980732448 3961464896 7922929792 15845859584 31691719168 63383438336