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412485442992 = 2432731371971811
BaseRepresentation
bin1100000000010100000…
…11000101110110110000
31110102200211010120221100
412000022003011312300
523224232233133432
6513254310324400
741541526262310
oct6001203056660
91412624116840
10412485442992
11149a30308527
1267b38659700
132cb8822c12c
1415d70467440
15aae2aa907c
hex600a0c5db0

412485442992 has 480 divisors, whose sum is σ = 1406539689984. Its totient is φ = 110344550400.

The previous prime is 412485442991. The next prime is 412485442997. The reversal of 412485442992 is 299244584214.

412485442992 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 8 + 544 + 2 + 9 + 92 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (412485442991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227765767 + ... + 227767577.

Almost surely, 2412485442992 is an apocalyptic number.

412485442992 is a gapful number since it is divisible by the number (42) 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 412485442992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703269844992).

412485442992 is an abundant number, since it is smaller than the sum of its proper divisors (994054246992).

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

412485442992 is a wasteful number, since it uses less digits than its factorization.

412485442992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2088 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 412485442992 in words is "four hundred twelve billion, four hundred eighty-five million, four hundred forty-two thousand, nine hundred ninety-two".