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45412129600 = 265228382581
BaseRepresentation
bin101010010010110001…
…100001101101000000
311100012211221012120221
4222102301201231000
51221001001121400
632510111312424
73165232506205
oct522261415500
9140184835527
1045412129600
1118293a66122
12897451b714
13438940b706
1422ab2adcac
1512abbeac1a
hexa92c61b40

45412129600 has 42 divisors (see below), whose sum is σ = 111742225334. Its totient is φ = 18164851200.

The previous prime is 45412129559. The next prime is 45412129613. The reversal of 45412129600 is 692121454.

It can be written as a sum of positive squares in 3 ways, for example, as 1634099776 + 43778029824 = 40424^2 + 209232^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14189691 + ... + 14192890.

Almost surely, 245412129600 is an apocalyptic number.

45412129600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45412129600 is an abundant number, since it is smaller than the sum of its proper divisors (66330095734).

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

45412129600 is a wasteful number, since it uses less digits than its factorization.

45412129600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28382603 (or 28382588 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 45412129600 in words is "forty-five billion, four hundred twelve million, one hundred twenty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 28382581 56765162 113530324 141912905 227060648 283825810 454121296 567651620 709564525 908242592 1135303240 1419129050 1816485184 2270606480 2838258100 4541212960 5676516200 9082425920 11353032400 22706064800 45412129600