Search a number
-
+
20498841987840 = 283351237479497
BaseRepresentation
bin1001010100100110000100…
…01100011110101100000000
32200120200002112200002212000
410222103002030132230000
510141323112022102330
6111333012113104000
74213664261660436
oct452230214365400
980520075602760
1020498841987840
116593567997897
122370990858000
13b5905654b8c8
1450c213760d56
1525834dec4560
hex12a4c231eb00

20498841987840 has 288 divisors, whose sum is σ = 72801375783360. Its totient is φ = 5461927428096.

The previous prime is 20498841987803. The next prime is 20498841987857. The reversal of 20498841987840 is 4878914889402.

20498841987840 is a `hidden beast` number, since 2 + 0 + 4 + 98 + 8 + 419 + 87 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 31 ways as a sum of consecutive naturals, for example, 42510972 + ... + 42990468.

Almost surely, 220498841987840 is an apocalyptic number.

20498841987840 is a gapful number since it is divisible by the number (20) 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 20498841987840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36400687891680).

20498841987840 is an abundant number, since it is smaller than the sum of its proper divisors (52302533795520).

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

20498841987840 is a wasteful number, since it uses less digits than its factorization.

20498841987840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480764 (or 480744 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 20498841987840 in words is "twenty trillion, four hundred ninety-eight billion, eight hundred forty-one million, nine hundred eighty-seven thousand, eight hundred forty".