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63414641436 = 22337142825769
BaseRepresentation
bin111011000011110011…
…101010001100011100
320001200110211120012120
4323003303222030130
52014333122011221
645044323502540
74403321362356
oct730363521434
9201613746176
1063414641436
1124991a03783
1210359527a50
135c9800b393
1430d81920d6
1519b23ed5c6
hexec3cea31c

63414641436 has 24 divisors (see below), whose sum is σ = 151966619280. Its totient is φ = 20566910592.

The previous prime is 63414641431. The next prime is 63414641447.

It is a happy number.

63414641436 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63414641431) 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 7 ways as a sum of consecutive naturals, for example, 71412441 + ... + 71413328.

It is an arithmetic number, because the mean of its divisors is an integer number (6331942470).

Almost surely, 263414641436 is an apocalyptic number.

It is an amenable number.

63414641436 is an abundant number, since it is smaller than the sum of its proper divisors (88551977844).

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

63414641436 is a wasteful number, since it uses less digits than its factorization.

63414641436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142825813 (or 142825811 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The spelling of 63414641436 in words is "sixty-three billion, four hundred fourteen million, six hundred forty-one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 142825769 285651538 428477307 571303076 856954614 1713909228 5284553453 10569106906 15853660359 21138213812 31707320718 63414641436