Search a number
-
+
20728086624 = 25357254401
BaseRepresentation
bin10011010011011111…
…011000000001100000
31222111120112220100000
4103103133120001200
5314422342232444
613304454500000
71332442554300
oct232337300140
958446486300
1020728086624
118877512303
124025964600
131c5449c11b
141008c91600
15814b3a469
hex4d37d8060

20728086624 has 216 divisors, whose sum is σ = 71110159848. Its totient is φ = 5922201600.

The previous prime is 20728086619. The next prime is 20728086637. The reversal of 20728086624 is 42668082702.

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 20728086624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 353824 + ... + 408224.

It is an arithmetic number, because the mean of its divisors is an integer number (329213703).

Almost surely, 220728086624 is an apocalyptic number.

20728086624 is a gapful number since it is divisible by the number (24) 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 20728086624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35555079924).

20728086624 is an abundant number, since it is smaller than the sum of its proper divisors (50382073224).

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

20728086624 is an equidigital number, since it uses as much as digits as its factorization.

20728086624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54440 (or 54413 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 20728086624 in words is "twenty billion, seven hundred twenty-eight million, eighty-six thousand, six hundred twenty-four".