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5403504000 = 27353112573
BaseRepresentation
bin1010000100001001…
…01110110110000000
3111221120122102222210
411002010232312000
542031244112000
62252103502120
7250622011656
oct50204566600
914846572883
105403504000
112323156594
121069757940
1368162905b
143938d8dd6
152195ad350
hex14212ed80

5403504000 has 128 divisors (see below), whose sum is σ = 17912774880. Its totient is φ = 1440921600.

The previous prime is 5403503981. The next prime is 5403504017. The reversal of 5403504000 is 4053045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 8287 + ... + 104286.

Almost surely, 25403504000 is an apocalyptic number.

5403504000 is a gapful number since it is divisible by the number (50) 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 5403504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8956387440).

5403504000 is an abundant number, since it is smaller than the sum of its proper divisors (12509270880).

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

5403504000 is a wasteful number, since it uses less digits than its factorization.

5403504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112605 (or 112583 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 5403504000 is about 73508.5301172592. The cubic root of 5403504000 is about 1754.7900334030.

Adding to 5403504000 its reverse (4053045), we get a palindrome (5407557045).

The spelling of 5403504000 in words is "five billion, four hundred three million, five hundred four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 112573 225146 337719 450292 562865 675438 900584 1125730 1350876 1688595 1801168 2251460 2701752 2814325 3377190 3602336 4502920 5403504 5628650 6754380 7204672 8442975 9005840 10807008 11257300 13508760 14071625 14409344 16885950 18011680 21614016 22514600 27017520 28143250 33771900 36023360 42214875 43228032 45029200 54035040 56286500 67543800 72046720 84429750 90058400 108070080 112573000 135087600 168859500 180116800 216140160 225146000 270175200 337719000 360233600 450292000 540350400 675438000 900584000 1080700800 1350876000 1801168000 2701752000 5403504000