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2644450040022 = 237537389182851
BaseRepresentation
bin100110011110110101100…
…000010101100011010110
3100100210210021021220020220
4212132311200111203112
5321311313202240042
65342502113535210
7362024636314350
oct46366540254326
910323707256226
102644450040022
1192a56111a34a
12368618b74506
131624a81a77bb
1491dc63240d0
1548bc53528ec
hex267b58158d6

2644450040022 has 128 divisors (see below), whose sum is σ = 6313045754880. Its totient is φ = 722927462400.

The previous prime is 2644450040017. The next prime is 2644450040027. The reversal of 2644450040022 is 2200400544462.

2644450040022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2644450040017) and next prime (2644450040027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2644450040027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14370897 + ... + 14553747.

It is an arithmetic number, because the mean of its divisors is an integer number (49320669960).

Almost surely, 22644450040022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2644450040022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156522877440).

2644450040022 is an abundant number, since it is smaller than the sum of its proper divisors (3668595714858).

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

2644450040022 is a wasteful number, since it uses less digits than its factorization.

2644450040022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183078.

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 2644450040022 its reverse (2200400544462), we get a palindrome (4844850584484).

The spelling of 2644450040022 in words is "two trillion, six hundred forty-four billion, four hundred fifty million, forty thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 53 73 89 106 146 159 178 219 267 318 371 438 511 534 623 742 1022 1113 1246 1533 1869 2226 3066 3738 3869 4717 6497 7738 9434 11607 12994 14151 19491 23214 27083 28302 33019 38982 45479 54166 66038 81249 90958 99057 136437 162498 182851 198114 272874 344341 365702 548553 688682 1033023 1097106 1279957 2066046 2410387 2559914 3839871 4820774 7231161 7679742 9691103 13348123 14462322 16273739 19382206 26696246 29073309 32547478 40044369 48821217 58146618 67837721 80088738 93436861 97642434 113916173 135675442 186873722 203513163 227832346 280310583 341748519 407026326 560621166 683497038 707450519 862508167 1187982947 1414901038 1725016334 2122351557 2375965894 2587524501 3563948841 4244703114 4952153633 5175049002 6037557169 7127897682 8315880629 9904307266 12075114338 14856460899 16631761258 18112671507 24947641887 29712921798 36225343014 49895283774 62963096191 125926192382 188889288573 377778577146 440741673337 881483346674 1322225020011 2644450040022