Search a number
-
+
421593645000 = 233541123159127
BaseRepresentation
bin1100010001010001111…
…00000111111111001000
31111022012120211012012110
412020220330013333020
523401410433120000
6521402154542320
742313324566153
oct6105074077710
91438176735173
10421593645000
11152884692500
126985aa379a0
13309aa235288
1416595da6c9a
15ae7750a850
hex6228f07fc8

421593645000 has 960 divisors, whose sum is σ = 1531669708800. Its totient is φ = 96465600000.

The previous prime is 421593644939. The next prime is 421593645007. The reversal of 421593645000 is 546395124.

It is a super-3 number, since 3×4215936450003 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 421593645000.

It is not an unprimeable number, because it can be changed into a prime (421593645007) 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 239 ways as a sum of consecutive naturals, for example, 3319634937 + ... + 3319635063.

It is an arithmetic number, because the mean of its divisors is an integer number (1595489280).

Almost surely, 2421593645000 is an apocalyptic number.

421593645000 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 421593645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765834854400).

421593645000 is an abundant number, since it is smaller than the sum of its proper divisors (1110076063800).

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

421593645000 is a wasteful number, since it uses less digits than its factorization.

421593645000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 421593645000 in words is "four hundred twenty-one billion, five hundred ninety-three million, six hundred forty-five thousand".