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45435334400 = 28527099271
BaseRepresentation
bin101010010100001010…
…000010111100000000
311100021110121010120222
4222110022002330000
51221022421200100
632512300522212
73165633653531
oct522412027400
9140243533528
1045435334400
11182a6075245
128980250368
134391174771
1422b03d0688
1512adc81485
hexa94282f00

45435334400 has 54 divisors (see below), whose sum is σ = 112459567752. Its totient is φ = 18174131200.

The previous prime is 45435334387. The next prime is 45435334403. The reversal of 45435334400 is 443353454.

It is a super-2 number, since 2×454353344002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45435334403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3543236 + ... + 3556035.

It is an arithmetic number, because the mean of its divisors is an integer number (2082584588).

Almost surely, 245435334400 is an apocalyptic number.

45435334400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45435334400 is an abundant number, since it is smaller than the sum of its proper divisors (67024233352).

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

45435334400 is an equidigital number, since it uses as much as digits as its factorization.

45435334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7099297 (or 7099278 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 35.

Adding to 45435334400 its reverse (443353454), we get a palindrome (45878687854).

The spelling of 45435334400 in words is "forty-five billion, four hundred thirty-five million, three hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 7099271 14198542 28397084 35496355 56794168 70992710 113588336 141985420 177481775 227176672 283970840 354963550 454353344 567941680 709927100 908706688 1135883360 1419854200 1817413376 2271766720 2839708400 4543533440 5679416800 9087066880 11358833600 22717667200 45435334400