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45003322400 = 255256254153
BaseRepresentation
bin101001111010011010…
…000011010000100000
311022011100200122112112
4221322122003100200
51214131322304100
632401345214452
73152136633401
oct517232032040
9138140618475
1045003322400
11180a4225233
12887b631428
13432280546a
14226cc959a8
151285d97b35
hexa7a683420

45003322400 has 36 divisors (see below), whose sum is σ = 109864362762. Its totient is φ = 18001328640.

The previous prime is 45003322379. The next prime is 45003322433. The reversal of 45003322400 is 422330054.

It can be written as a sum of positive squares in 3 ways, for example, as 24687951376 + 20315371024 = 157124^2 + 142532^2 .

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, 28126277 + ... + 28127876.

Almost surely, 245003322400 is an apocalyptic number.

45003322400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45003322400 is an abundant number, since it is smaller than the sum of its proper divisors (64861040362).

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

45003322400 is a wasteful number, since it uses less digits than its factorization.

45003322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56254173 (or 56254160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

Adding to 45003322400 its reverse (422330054), we get a palindrome (45425652454).

The spelling of 45003322400 in words is "forty-five billion, three million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 56254153 112508306 225016612 281270765 450033224 562541530 900066448 1125083060 1406353825 1800132896 2250166120 2812707650 4500332240 5625415300 9000664480 11250830600 22501661200 45003322400