Search a number
-
+
2044523013064 = 237175937614759
BaseRepresentation
bin11101110000000111000…
…100010110001111001000
321020110021022202020221221
4131300013010112033020
5231444140342404224
64203124011411424
7300466120604620
oct35600704261710
97213238666857
102044523013064
11719093a38554
122902aa753b74
1311aa4a6ba10c
1470d53a37880
15382b1aeb6e4
hex1dc071163c8

2044523013064 has 128 divisors (see below), whose sum is σ = 4653740044800. Its totient is φ = 822036234240.

The previous prime is 2044523013053. The next prime is 2044523013083. The reversal of 2044523013064 is 4603103254402.

It is a super-3 number, since 3×20445230130643 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429609517 + ... + 429614275.

It is an arithmetic number, because the mean of its divisors is an integer number (36357344100).

Almost surely, 22044523013064 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 2044523013064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326870022400).

2044523013064 is an abundant number, since it is smaller than the sum of its proper divisors (2609217031736).

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

2044523013064 is a wasteful number, since it uses less digits than its factorization.

2044523013064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6139 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 2044523013064 its reverse (4603103254402), we get a palindrome (6647626267466).

The spelling of 2044523013064 in words is "two trillion, forty-four billion, five hundred twenty-three million, thirteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 593 761 952 1186 1522 2372 3044 4151 4744 4759 5327 6088 8302 9518 10081 10654 12937 16604 19036 20162 21308 25874 33208 33313 38072 40324 42616 51748 66626 70567 80648 80903 90559 103496 133252 141134 161806 181118 266504 282268 323612 362236 451273 564536 566321 647224 724472 902546 1132642 1805092 2265284 2822087 3158911 3610184 3621599 4530568 5644174 6317822 7243198 7671641 11288348 12635644 14486396 15343282 19754609 22576696 25271288 25351193 28972792 30686564 39509218 47975479 50702386 53701487 61373128 61567183 79018436 95950958 101404772 107402974 123134366 158036872 191901916 202809544 214805948 246268732 335828353 383803832 429611896 430970281 492537464 671656706 861940562 1343313412 1723881124 2147608207 2686626824 3447762248 4295216414 8590432828 15033257449 17180865656 30066514898 36509339519 60133029796 73018679038 120266059592 146037358076 255565376633 292074716152 511130753266 1022261506532 2044523013064