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10944378822 = 23132195631009
BaseRepresentation
bin10100011000101010…
…11111011111000110
31001020201210001022210
422030111133133012
5134403230110242
65010000004250
7535132453656
oct121425373706
931221701283
1010944378822
1147068a8883
122155300686
131055551800
1475b752366
15440c53d9c
hex28c55f7c6

10944378822 has 96 divisors (see below), whose sum is σ = 25018588800. Its totient is φ = 3181441536.

The previous prime is 10944378821. The next prime is 10944378859. The reversal of 10944378822 is 22887344901.

10944378822 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10944378821) 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 47 ways as a sum of consecutive naturals, for example, 10846254 + ... + 10847262.

It is an arithmetic number, because the mean of its divisors is an integer number (260610300).

Almost surely, 210944378822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10944378822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509294400).

10944378822 is an abundant number, since it is smaller than the sum of its proper divisors (14074209978).

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

10944378822 is a wasteful number, since it uses less digits than its factorization.

10944378822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 10944378822 in words is "ten billion, nine hundred forty-four million, three hundred seventy-eight thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 169 247 338 494 507 563 741 1009 1014 1126 1482 1689 2018 3027 3211 3378 6054 6422 7319 9633 10697 13117 14638 19171 19266 21394 21957 26234 32091 38342 39351 43914 57513 64182 78702 95147 115026 139061 170521 190294 249223 278122 285441 341042 417183 498446 511563 568067 570882 747669 834366 1023126 1136134 1495338 1704201 1807793 3239899 3408402 3615586 5423379 6479798 7384871 9719697 10793273 10846758 14769742 19439394 21586546 22154613 32379819 44309226 64759638 96003323 140312549 192006646 280625098 288009969 420937647 576019938 841875294 1824063137 3648126274 5472189411 10944378822