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421696785312 = 25341119432421
BaseRepresentation
bin1100010001011110001…
…01100100101110100000
31111022110202220021010000
412020233011210232200
523402113334112222
6521420321340000
742316016350605
oct6105705445640
91438422807100
10421696785312
11152927929330
1269889497600
13309c570824a
14165a59746ac
15ae815d09ac
hex622f164ba0

421696785312 has 720 divisors, whose sum is σ = 1461504733920. Its totient is φ = 117965030400.

The previous prime is 421696785271. The next prime is 421696785373. The reversal of 421696785312 is 213587696124.

It is a happy number.

421696785312 is a `hidden beast` number, since 4 + 2 + 16 + 96 + 7 + 8 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1001654862 + ... + 1001655282.

It is an arithmetic number, because the mean of its divisors is an integer number (2029867686).

Almost surely, 2421696785312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421696785312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730752366960).

421696785312 is an abundant number, since it is smaller than the sum of its proper divisors (1039807948608).

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

421696785312 is a wasteful number, since it uses less digits than its factorization.

421696785312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 499 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 421696785312 in words is "four hundred twenty-one billion, six hundred ninety-six million, seven hundred eighty-five thousand, three hundred twelve".