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412941696000 = 210353172612
BaseRepresentation
bin1100000001001010011…
…11100011110000000000
31110110212121122122101220
412000211033203300000
523231201033233000
6513411445355040
741556036334101
oct6004517436000
91413777578356
10412941696000
1114a144905129
1268045408a80
132cc2b908022
1415db4cb23a8
15ab1cb801a0
hex60253e3c00

412941696000 has 792 divisors, whose sum is σ = 1483464469968. Its totient is φ = 101941248000.

The previous prime is 412941695927. The next prime is 412941696007. The reversal of 412941696000 is 696149214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412941696007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6769535970 + ... + 6769536030.

Almost surely, 2412941696000 is an apocalyptic number.

412941696000 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 412941696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741732234984).

412941696000 is an abundant number, since it is smaller than the sum of its proper divisors (1070522773968).

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

412941696000 is an equidigital number, since it uses as much as digits as its factorization.

412941696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 412941696000 in words is "four hundred twelve billion, nine hundred forty-one million, six hundred ninety-six thousand".