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20841969060 = 22355111721971
BaseRepresentation
bin10011011010010001…
…110011010110100100
31222210111211201200000
4103122101303112210
5320141021002220
613324043421300
71335324546123
oct233221632644
958714751600
1020841969060
118925825920
124057b24830
131c71c63693
14101a057aba
1581eb33390
hex4da4735a4

20841969060 has 864 divisors, whose sum is σ = 81102228480. Its totient is φ = 4441651200.

The previous prime is 20841969059. The next prime is 20841969089. The reversal of 20841969060 is 6096914802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 20841968997 and 20841969015.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 293548825 + ... + 293548895.

It is an arithmetic number, because the mean of its divisors is an integer number (93868320).

Almost surely, 220841969060 is an apocalyptic number.

20841969060 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 20841969060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40551114240).

20841969060 is an abundant number, since it is smaller than the sum of its proper divisors (60260259420).

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

20841969060 is a wasteful number, since it uses less digits than its factorization.

20841969060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 20841969060 in words is "twenty billion, eight hundred forty-one million, nine hundred sixty-nine thousand, sixty".