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45537287440 = 2457915147717
BaseRepresentation
bin101010011010001110…
…111101110100010000
311100112120102212212111
4222122032331310100
51221230021144230
632530342035104
73201312361651
oct523216756420
9140476385774
1045537287440
1118348680057
1289aa418a94
1343a93201c8
1422bdb6d528
1512b7bbe92a
hexa9a3bdd10

45537287440 has 80 divisors (see below), whose sum is σ = 107926663680. Its totient is φ = 17864870400.

The previous prime is 45537287423. The next prime is 45537287443. The reversal of 45537287440 is 4478273554.

45537287440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (45537287443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930462 + ... + 978178.

It is an arithmetic number, because the mean of its divisors is an integer number (1349083296).

Almost surely, 245537287440 is an apocalyptic number.

45537287440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45537287440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53963331840).

45537287440 is an abundant number, since it is smaller than the sum of its proper divisors (62389376240).

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

45537287440 is a wasteful number, since it uses less digits than its factorization.

45537287440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47960 (or 47954 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 49.

The spelling of 45537287440 in words is "forty-five billion, five hundred thirty-seven million, two hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 151 158 302 316 395 604 632 755 790 1208 1264 1510 1580 2416 3020 3160 6040 6320 11929 12080 23858 47716 47717 59645 95432 95434 119290 190864 190868 238580 238585 381736 477160 477170 763472 954320 954340 1908680 3769643 3817360 7205267 7539286 14410534 15078572 18848215 28821068 30157144 36026335 37696430 57642136 60314288 72052670 75392860 115284272 144105340 150785720 288210680 301571440 569216093 576421360 1138432186 2276864372 2846080465 4553728744 5692160930 9107457488 11384321860 22768643720 45537287440