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20844189648 = 2433227212557
BaseRepresentation
bin10011011010011010…
…010001011111010000
31222210200000112202000
4103122122101133100
5320142103032043
613324203154000
71335352455132
oct233232213720
958720015660
1020844189648
118927002217
124058815900
131c72560339
14101a475052
1581ee212d3
hex4da6917d0

20844189648 has 80 divisors (see below), whose sum is σ = 60094397760. Its totient is φ = 6917422464.

The previous prime is 20844189643. The next prime is 20844189683. The reversal of 20844189648 is 84698144802.

It is a happy number.

20844189648 is a `hidden beast` number, since 20 + 84 + 418 + 96 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20844189594 and 20844189603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20844189643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8215 + ... + 204342.

It is an arithmetic number, because the mean of its divisors is an integer number (751179972).

Almost surely, 220844189648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20844189648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30047198880).

20844189648 is an abundant number, since it is smaller than the sum of its proper divisors (39250208112).

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

20844189648 is a wasteful number, since it uses less digits than its factorization.

20844189648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212801 (or 212789 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 20844189648 in words is "twenty billion, eight hundred forty-four million, one hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 227 432 454 681 908 1362 1816 2043 2724 3632 4086 5448 6129 8172 10896 12258 16344 24516 32688 49032 98064 212557 425114 637671 850228 1275342 1700456 1913013 2550684 3400912 3826026 5101368 5739039 7652052 10202736 11478078 15304104 22956156 30608208 45912312 48250439 91824624 96500878 144751317 193001756 289502634 386003512 434253951 579005268 772007024 868507902 1158010536 1302761853 1737015804 2316021072 2605523706 3474031608 5211047412 6948063216 10422094824 20844189648