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45428288200 = 2352283380177
BaseRepresentation
bin101010010011101111…
…001010101011001000
311100020222100011000121
4222103233022223020
51221014120210300
632511445513024
73165520035631
oct522357125310
9140228304017
1045428288200
11182a20a2339
128979a12774
13438c878509
1422ad4b8888
1512ad33d81a
hexa93bcaac8

45428288200 has 48 divisors (see below), whose sum is σ = 105659370180. Its totient is φ = 18164674560.

The previous prime is 45428288197. The next prime is 45428288209. The reversal of 45428288200 is 288282454.

45428288200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12029263684 + 33399024516 = 109678^2 + 182754^2 .

It is not an unprimeable number, because it can be changed into a prime (45428288209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526512 + ... + 606688.

Almost surely, 245428288200 is an apocalyptic number.

45428288200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45428288200 is an abundant number, since it is smaller than the sum of its proper divisors (60231081980).

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

45428288200 is a wasteful number, since it uses less digits than its factorization.

45428288200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83026 (or 83017 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 43.

The spelling of 45428288200 in words is "forty-five billion, four hundred twenty-eight million, two hundred eighty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2833 5666 11332 14165 22664 28330 56660 70825 80177 113320 141650 160354 283300 320708 400885 566600 641416 801770 1603540 2004425 3207080 4008850 8017700 16035400 227141441 454282882 908565764 1135707205 1817131528 2271414410 4542828820 5678536025 9085657640 11357072050 22714144100 45428288200