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21944444104 = 2311419296547
BaseRepresentation
bin10100011011111111…
…011010010011001000
32002122100100021010001
4110123333122103020
5324420234202404
614025305332344
71404542461102
oct243377322310
962570307101
1021944444104
119341080720
1243051970b4
1320b949ca8b
1410c263c572
158868077a4
hex51bfda4c8

21944444104 has 64 divisors (see below), whose sum is σ = 46037678400. Its totient is φ = 9719500800.

The previous prime is 21944444099. The next prime is 21944444107. The reversal of 21944444104 is 40144444912.

It is not an unprimeable number, because it can be changed into a prime (21944444107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3348559 + ... + 3355105.

It is an arithmetic number, because the mean of its divisors is an integer number (719338725).

Almost surely, 221944444104 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 21944444104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23018839200).

21944444104 is an abundant number, since it is smaller than the sum of its proper divisors (24093234296).

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

21944444104 is a wasteful number, since it uses less digits than its factorization.

21944444104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 21944444104 in words is "twenty-one billion, nine hundred forty-four million, four hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 902 929 1804 1858 3608 3716 6547 7432 10219 13094 20438 26188 38089 40876 52376 72017 76178 81752 144034 152356 268427 288068 304712 418979 536854 576136 837958 1073708 1675916 2147416 2952697 3351832 5905394 6082163 11810788 12164326 23621576 24328652 48657304 66903793 133807586 249368683 267615172 498737366 535230344 997474732 1994949464 2743055513 5486111026 10972222052 21944444104