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683421342912 = 263271121400821
BaseRepresentation
bin10011111000111110001…
…01100001110011000000
32102100000210211100122100
421330133011201303000
542144121330433122
61241543123110400
7100242550365210
oct11743705416300
92370023740570
10683421342912
11243923593200
12b0550512400
134c5a584b889
1425113584240
1512b9d8acaac
hex9f1f161cc0

683421342912 has 252 divisors, whose sum is σ = 2460773577808. Its totient is φ = 177511910400.

The previous prime is 683421342911. The next prime is 683421342931. The reversal of 683421342912 is 219243124386.

683421342912 is a `hidden beast` number, since 6 + 8 + 3 + 4 + 213 + 429 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (683421342911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 212539 + ... + 1188282.

Almost surely, 2683421342912 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 683421342912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230386788904).

683421342912 is an abundant number, since it is smaller than the sum of its proper divisors (1777352234896).

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

683421342912 is a wasteful number, since it uses less digits than its factorization.

683421342912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400868 (or 1400844 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 683421342912 in words is "six hundred eighty-three billion, four hundred twenty-one million, three hundred forty-two thousand, nine hundred twelve".