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45044001200 = 24521110399391
BaseRepresentation
bin101001111100110101…
…001110100110110000
311022021012020100100202
4221330311032212300
51214222231014300
632405401134332
73153142456442
oct517465164660
9138235210322
1045044001200
1118115189880
12889118a3a8
13432b078c63
142274444492
151289730ad5
hexa7cd4e9b0

45044001200 has 120 divisors (see below), whose sum is σ = 119203608576. Its totient is φ = 16220448000.

The previous prime is 45044001179. The next prime is 45044001229. The reversal of 45044001200 is 210044054.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 403505 + ... + 502895.

Almost surely, 245044001200 is an apocalyptic number.

45044001200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45044001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59601804288).

45044001200 is an abundant number, since it is smaller than the sum of its proper divisors (74159607376).

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

45044001200 is a wasteful number, since it uses less digits than its factorization.

45044001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99523 (or 99512 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 45044001200 its reverse (210044054), we get a palindrome (45254045254).

The spelling of 45044001200 in words is "forty-five billion, forty-four million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 103 110 176 200 206 220 275 400 412 440 515 550 824 880 1030 1100 1133 1648 2060 2200 2266 2575 4120 4400 4532 5150 5665 8240 9064 10300 11330 18128 20600 22660 28325 41200 45320 56650 90640 99391 113300 198782 226600 397564 453200 496955 795128 993910 1093301 1590256 1987820 2186602 2484775 3975640 4373204 4969550 5466505 7951280 8746408 9939100 10237273 10933010 17492816 19878200 20474546 21866020 27332525 39756400 40949092 43732040 51186365 54665050 81898184 87464080 102372730 109330100 112610003 163796368 204745460 218660200 225220006 255931825 409490920 437320400 450440012 511863650 563050015 818981840 900880024 1023727300 1126100030 1801760048 2047454600 2252200060 2815250075 4094909200 4504400120 5630500150 9008800240 11261000300 22522000600 45044001200