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45535503440 = 2457809100511
BaseRepresentation
bin101010011010001000…
…001010010001010000
311100112110002020200102
4222122020022101100
51221224042102230
632530235511532
73201261251540
oct523210122120
9140473066612
1045535503440
1118347671779
1289a98b85a8
1343a8b4719b
1422bd827320
1512b796b045
hexa9a20a450

45535503440 has 80 divisors (see below), whose sum is σ = 121145103360. Its totient is φ = 15592719360.

The previous prime is 45535503421. The next prime is 45535503467. The reversal of 45535503440 is 4430553554.

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

It is a junction number, because it is equal to n+sod(n) for n = 45535503394 and 45535503403.

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, 402785 + ... + 503295.

It is an arithmetic number, because the mean of its divisors is an integer number (1514313792).

Almost surely, 245535503440 is an apocalyptic number.

45535503440 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 45535503440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60572551680).

45535503440 is an abundant number, since it is smaller than the sum of its proper divisors (75609599920).

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

45535503440 is a wasteful number, since it uses less digits than its factorization.

45535503440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101340 (or 101334 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 38.

The spelling of 45535503440 in words is "forty-five billion, five hundred thirty-five million, five hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 809 1618 3236 4045 5663 6472 8090 11326 12944 16180 22652 28315 32360 45304 56630 64720 90608 100511 113260 201022 226520 402044 453040 502555 703577 804088 1005110 1407154 1608176 2010220 2814308 3517885 4020440 5628616 7035770 8040880 11257232 14071540 28143080 56286160 81313399 162626798 325253596 406566995 569193793 650507192 813133990 1138387586 1301014384 1626267980 2276775172 2845968965 3252535960 4553550344 5691937930 6505071920 9107100688 11383875860 22767751720 45535503440