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1052545044300 = 2235229149811961
BaseRepresentation
bin11110101000100001001…
…00101100111101001100
310201121210200012020112220
433110100210230331030
5114221103012404200
62123311005055340
7136021022155011
oct17242044547514
93647720166486
101052545044300
11376422268442
1214bba7257550
13783403a9529
1438d2cb91708
151c5a47834a0
hexf51092cf4c

1052545044300 has 144 divisors (see below), whose sum is σ = 3171523572000. Its totient is φ = 269180979200.

The previous prime is 1052545044263. The next prime is 1052545044349. The reversal of 1052545044300 is 34405452501.

It is a super-2 number, since 2×10525450443002 (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 890320 + ... + 1702280.

It is an arithmetic number, because the mean of its divisors is an integer number (22024469250).

Almost surely, 21052545044300 is an apocalyptic number.

1052545044300 is a gapful number since it is divisible by the number (10) 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 1052545044300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585761786000).

1052545044300 is an abundant number, since it is smaller than the sum of its proper divisors (2118978527700).

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

1052545044300 is a wasteful number, since it uses less digits than its factorization.

1052545044300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812156 (or 812149 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 1052545044300 in words is "one trillion, fifty-two billion, five hundred forty-five million, forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 149 150 174 290 298 300 348 435 447 580 596 725 745 870 894 1450 1490 1740 1788 2175 2235 2900 2980 3725 4321 4350 4470 7450 8642 8700 8940 11175 12963 14900 17284 21605 22350 25926 43210 44700 51852 64815 86420 108025 129630 216050 259260 324075 432100 648150 811961 1296300 1623922 2435883 3247844 4059805 4871766 8119610 9743532 12179415 16239220 20299025 23546869 24358830 40598050 47093738 48717660 60897075 70640607 81196100 94187476 117734345 120982189 121794150 141281214 235468690 241964378 243588300 282562428 353203035 362946567 470937380 483928756 588671725 604910945 706406070 725893134 1177343450 1209821890 1412812140 1451786268 1766015175 1814732835 2354686900 2419643780 3024554725 3508483481 3532030350 3629465670 6049109450 7016966962 7064060700 7258931340 9073664175 10525450443 12098218900 14033933924 17542417405 18147328350 21050900886 35084834810 36294656700 42101801772 52627252215 70169669620 87712087025 105254504430 175424174050 210509008860 263136261075 350848348100 526272522150 1052545044300