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45003521200 = 24521137926987
BaseRepresentation
bin101001111010011010…
…110011110010110000
311022011101001202020111
4221322122303302300
51214131400134300
632401353351104
73152141422111
oct517232636260
9138141052214
1045003521200
11180a4350630
12887b708494
134322874ab1
14226cd08208
151285dd69ba
hexa7a6b3cb0

45003521200 has 120 divisors (see below), whose sum is σ = 118265734080. Its totient is φ = 16321132800.

The previous prime is 45003521191. The next prime is 45003521243. The reversal of 45003521200 is 212530054.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1654107 + ... + 1681093.

It is an arithmetic number, because the mean of its divisors is an integer number (985547784).

Almost surely, 245003521200 is an apocalyptic number.

45003521200 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 45003521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59132867040).

45003521200 is an abundant number, since it is smaller than the sum of its proper divisors (73262212880).

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

45003521200 is a wasteful number, since it uses less digits than its factorization.

45003521200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27395 (or 27384 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The spelling of 45003521200 in words is "forty-five billion, three million, five hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 379 400 440 550 758 880 1100 1516 1895 2200 3032 3790 4169 4400 6064 7580 8338 9475 15160 16676 18950 20845 26987 30320 33352 37900 41690 53974 66704 75800 83380 104225 107948 134935 151600 166760 208450 215896 269870 296857 333520 416900 431792 539740 593714 674675 833800 1079480 1187428 1349350 1484285 1667600 2158960 2374856 2698700 2968570 4749712 5397400 5937140 7421425 10228073 10794800 11874280 14842850 20456146 23748560 29685700 40912292 51140365 59371400 81824584 102280730 112508803 118742800 163649168 204561460 225017606 255701825 409122920 450035212 511403650 562544015 818245840 900070424 1022807300 1125088030 1800140848 2045614600 2250176060 2812720075 4091229200 4500352120 5625440150 9000704240 11250880300 22501760600 45003521200