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413248412480 = 2652477521357
BaseRepresentation
bin1100000001101111000…
…01100101101101000000
31110111122222210110022112
412000313201211231000
523232313043144410
6513502123354452
741566452356201
oct6006741455500
91414588713275
10413248412480
1114a291a56822
1268110082a28
132cc7a317c77
14160039135a8
15ab39a69105
hex6037865b40

413248412480 has 56 divisors (see below), whose sum is σ = 984446944488. Its totient is φ = 165232314368.

The previous prime is 413248412429. The next prime is 413248412491. The reversal of 413248412480 is 84214842314.

It can be written as a sum of positive squares in 4 ways, for example, as 48210106624 + 365038305856 = 219568^2 + 604184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 531962 + ... + 1053318.

It is an arithmetic number, because the mean of its divisors is an integer number (17579409723).

Almost surely, 2413248412480 is an apocalyptic number.

413248412480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413248412480 is an abundant number, since it is smaller than the sum of its proper divisors (571198532008).

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

413248412480 is a wasteful number, since it uses less digits than its factorization.

413248412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523851 (or 523841 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 41.

The spelling of 413248412480 in words is "four hundred thirteen billion, two hundred forty-eight million, four hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2477 4954 9908 12385 19816 24770 39632 49540 79264 99080 158528 198160 396320 521357 792640 1042714 2085428 2606785 4170856 5213570 8341712 10427140 16683424 20854280 33366848 41708560 83417120 166834240 1291401289 2582802578 5165605156 6457006445 10331210312 12914012890 20662420624 25828025780 41324841248 51656051560 82649682496 103312103120 206624206240 413248412480