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634044440436 = 2231137129820729
BaseRepresentation
bin10010011100111111111…
…11100101111101110100
32020121120122110211010120
421032133333211331310
540342010334043221
61203135340451540
763544132551261
oct11163777457564
92217518424116
10634044440436
11224995614590
12a2a70249bb0
1347a36c03a14
142298b8d0268
151175da995c6
hex939ffe5f74

634044440436 has 48 divisors (see below), whose sum is σ = 1657551080640. Its totient is φ = 186941848320.

The previous prime is 634044440417. The next prime is 634044440441.

634044440436 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64905481 + ... + 64915248.

It is an arithmetic number, because the mean of its divisors is an integer number (34532314180).

Almost surely, 2634044440436 is an apocalyptic number.

634044440436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

634044440436 is an abundant number, since it is smaller than the sum of its proper divisors (1023506640204).

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

634044440436 is a wasteful number, since it uses less digits than its factorization.

634044440436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129820784 (or 129820782 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 634044440436 in words is "six hundred thirty-four billion, forty-four million, four hundred forty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 129820729 259641458 389462187 519282916 778924374 1428028019 1557848748 2856056038 4284084057 4803366973 5712112076 8568168114 9606733946 14410100919 17136336228 19213467892 28820201838 52837036703 57640403676 105674073406 158511110109 211348146812 317022220218 634044440436