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20242025999712 = 25341122337149509
BaseRepresentation
bin1001001101000111101101…
…10001001110110101100000
32122200010012121002011210000
410212203312301032311200
510123121132123442322
6111015020335140000
74156303163046246
oct446436661166540
978603177064700
1020242025999712
1164a465aa71900
12232b059674600
13b3aa79333a5a
144dda0da12796
1525181cadd3ac
hex1268f6c4ed60

20242025999712 has 1440 divisors, whose sum is σ = 70734914712000. Its totient is φ = 5659225989120.

The previous prime is 20242025999693. The next prime is 20242025999719. The reversal of 20242025999712 is 21799952024202.

20242025999712 is a `hidden beast` number, since 2 + 0 + 2 + 42 + 0 + 2 + 599 + 9 + 7 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20242025999719) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39768223714 + ... + 39768224222.

It is an arithmetic number, because the mean of its divisors is an integer number (49121468550).

Almost surely, 220242025999712 is an apocalyptic number.

20242025999712 is a gapful number since it is divisible by the number (22) 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 20242025999712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35367457356000).

20242025999712 is an abundant number, since it is smaller than the sum of its proper divisors (50492888712288).

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

20242025999712 is a wasteful number, since it uses less digits than its factorization.

20242025999712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20242025999712 in words is "twenty trillion, two hundred forty-two billion, twenty-five million, nine hundred ninety-nine thousand, seven hundred twelve".