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423412339392 = 26347195311587
BaseRepresentation
bin1100010100101010101…
…01111001001011000000
31111110220100000102220000
412022111111321023000
523414122024330032
6522302443520000
742406360334160
oct6122525711300
91443810012800
10423412339392
11153628255519
126a087b29000
1330c09c6c3c3
14166c97485a0
15b032007e7c
hex62955792c0

423412339392 has 560 divisors, whose sum is σ = 1538548957440. Its totient is φ = 112435734528.

The previous prime is 423412339367. The next prime is 423412339393. The reversal of 423412339392 is 293933214324.

423412339392 is a `hidden beast` number, since 4 + 23 + 4 + 1 + 233 + 9 + 392 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (423412339393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36536223 + ... + 36547809.

Almost surely, 2423412339392 is an apocalyptic number.

423412339392 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 423412339392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769274478720).

423412339392 is an abundant number, since it is smaller than the sum of its proper divisors (1115136618048).

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

423412339392 is a wasteful number, since it uses less digits than its factorization.

423412339392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11690 (or 11671 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The spelling of 423412339392 in words is "four hundred twenty-three billion, four hundred twelve million, three hundred thirty-nine thousand, three hundred ninety-two".