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2054444502 = 2311192232163
BaseRepresentation
bin111101001110100…
…0101010111010110
312022011210121001010
41322131011113112
513201414211002
6535505513050
7101624330055
oct17235052726
95264717033
102054444502
11964753620
12494042786
1326982a746
14156bcc39c
15c056946c
hex7a7455d6

2054444502 has 144 divisors (see below), whose sum is σ = 4975725888. Its totient is φ = 560688480.

The previous prime is 2054444473. The next prime is 2054444507.

2054444502 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×20544445023 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2054444502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054444507) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12603873 + ... + 12604035.

It is an arithmetic number, because the mean of its divisors is an integer number (34553652).

Almost surely, 22054444502 is an apocalyptic number.

2054444502 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054444502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487862944).

2054444502 is an abundant number, since it is smaller than the sum of its proper divisors (2921281386).

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

2054444502 is a wasteful number, since it uses less digits than its factorization.

2054444502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 2054444502 is about 45325.9804306537. The cubic root of 2054444502 is about 1271.2514792850.

The spelling of 2054444502 in words is "two billion, fifty-four million, four hundred forty-four thousand, five hundred two".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 114 138 163 209 253 326 361 418 437 489 506 529 627 722 759 874 978 1058 1083 1254 1311 1518 1587 1793 2166 2622 3097 3174 3586 3749 3971 4807 5379 5819 6194 7498 7942 8303 9291 9614 10051 10758 11247 11638 11913 14421 16606 17457 18582 20102 22494 23826 24909 28842 30153 34067 34914 41239 49818 58843 60306 68134 71231 82478 86227 91333 102201 110561 117686 123717 142462 172454 176529 182666 190969 204402 213693 221122 247434 258681 273999 331683 353058 381938 427386 517362 547998 572907 647273 663366 783541 948497 1145814 1294546 1353389 1567082 1638313 1896994 1941819 2100659 2350623 2706778 2845491 3276626 3883638 4060167 4201318 4701246 4914939 5690982 6301977 8120334 9829878 12603954 14887279 18021443 29774558 31127947 36042886 44661837 54064329 62255894 89323674 93383841 108128658 186767682 342407417 684814834 1027222251 2054444502