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428271318480 = 24351784463827
BaseRepresentation
bin1100011101101101111…
…01011011010111010000
31111221102222001011010110
412032312331123113100
524004044424142410
6524424540401320
742640651100025
oct6166675332720
91457388034113
10428271318480
111556a0aa3415
126b003246240
1331502824065
1416a2abbb54c
15b2188a5720
hex63b6f5b5d0

428271318480 has 40 divisors (see below), whose sum is σ = 1327641088032. Its totient is φ = 114205684864.

The previous prime is 428271318473. The next prime is 428271318569. The reversal of 428271318480 is 84813172824.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 892231674 + ... + 892232153.

Almost surely, 2428271318480 is an apocalyptic number.

428271318480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428271318480 is an abundant number, since it is smaller than the sum of its proper divisors (899369769552).

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

428271318480 is a wasteful number, since it uses less digits than its factorization.

428271318480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784463843 (or 1784463837 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 428271318480 in words is "four hundred twenty-eight billion, two hundred seventy-one million, three hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1784463827 3568927654 5353391481 7137855308 8922319135 10706782962 14275710616 17844638270 21413565924 26766957405 28551421232 35689276540 42827131848 53533914810 71378553080 85654263696 107067829620 142757106160 214135659240 428271318480