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412363676480 = 265729311931061
BaseRepresentation
bin1100000000000101100…
…10100101101101000000
31110102101100000012200112
412000002302211231000
523224010100121410
6513234240410452
741535520263020
oct6000262455500
91412340005615
10412363676480
111499785aa548
1267b03916a28
132cb68c37142
1415d5c20ba80
15aad7055105
hex6002ca5b40

412363676480 has 448 divisors, whose sum is σ = 1205708820480. Its totient is φ = 131294822400.

The previous prime is 412363676471. The next prime is 412363676507. The reversal of 412363676480 is 84676363214.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 388655150 + ... + 388656210.

Almost surely, 2412363676480 is an apocalyptic number.

412363676480 is a gapful number since it is divisible by the number (40) 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 412363676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602854410240).

412363676480 is an abundant number, since it is smaller than the sum of its proper divisors (793345144000).

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

412363676480 is a wasteful number, since it uses less digits than its factorization.

412363676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 50.

The spelling of 412363676480 in words is "four hundred twelve billion, three hundred sixty-three million, six hundred seventy-six thousand, four hundred eighty".