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104653033024 = 2637137322589
BaseRepresentation
bin110000101110111001…
…1101000111001000000
3101000010110010220121011
41201131303220321000
53203312134024044
6120024341410304
710363254050311
oct1413563507100
9330113126534
10104653033024
11404239aa741
1218348109994
139b3a807817
1450cb004608
152ac79a6134
hex185dce8e40

104653033024 has 56 divisors (see below), whose sum is σ = 214841068920. Its totient is φ = 50540507136.

The previous prime is 104653033007. The next prime is 104653033027. The reversal of 104653033024 is 420330356401.

It can be written as a sum of positive squares in 4 ways, for example, as 69696000000 + 34957033024 = 264000^2 + 186968^2 .

It is a super-2 number, since 2×1046530330242 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104653033027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163122 + ... + 485710.

Almost surely, 2104653033024 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 104653033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107420534460).

104653033024 is an abundant number, since it is smaller than the sum of its proper divisors (110188035896).

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

104653033024 is a wasteful number, since it uses less digits than its factorization.

104653033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322775 (or 322765 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 104653033024 its reverse (420330356401), we get a palindrome (524983389425).

The spelling of 104653033024 in words is "one hundred four billion, six hundred fifty-three million, thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 137 148 274 296 548 592 1096 1184 2192 2368 4384 5069 8768 10138 20276 40552 81104 162208 322589 324416 645178 1290356 2580712 5161424 10322848 11935793 20645696 23871586 44194693 47743172 88389386 95486344 176778772 190972688 353557544 381945376 707115088 763890752 1414230176 1635203641 2828460352 3270407282 6540814564 13081629128 26163258256 52326516512 104653033024