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1053007575640 = 2351091972415087
BaseRepresentation
bin11110101001011000010…
…01000111101001011000
310201122222220112021021021
433110230021013221120
5114223024414410030
62123424530452224
7136035336465616
oct17245411075130
93648886467237
101053007575640
1137663a363049
121500b6134074
13783b5173007
1438d743926b6
151c5d019997a
hexf52c247a58

1053007575640 has 128 divisors (see below), whose sum is σ = 2413586419200. Its totient is φ = 413416120320.

The previous prime is 1053007575617. The next prime is 1053007575643. The reversal of 1053007575640 is 465757003501.

It is a super-2 number, since 2×10530075756402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053007575643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 206997177 + ... + 207002263.

It is an arithmetic number, because the mean of its divisors is an integer number (18856143900).

Almost surely, 21053007575640 is an apocalyptic number.

1053007575640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053007575640 is an abundant number, since it is smaller than the sum of its proper divisors (1360578843560).

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

1053007575640 is a wasteful number, since it uses less digits than its factorization.

1053007575640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 43.

The spelling of 1053007575640 in words is "one trillion, fifty-three billion, seven million, five hundred seventy-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 109 197 218 241 394 436 482 545 788 872 964 985 1090 1205 1576 1928 1970 2180 2410 3940 4360 4820 5087 7880 9640 10174 20348 21473 25435 26269 40696 42946 47477 50870 52538 85892 94954 101740 105076 107365 131345 171784 189908 203480 210152 214730 237385 262690 379816 429460 474770 525380 554483 858920 949540 1002139 1050760 1108966 1225967 1899080 2004278 2217932 2451934 2772415 4008556 4435864 4903868 5010695 5174993 5544830 6129835 8017112 9807736 10021390 10349986 11089660 12259670 20042780 20699972 22179320 24519340 25874965 40085560 41399944 49038680 51749930 103499860 109233151 133630403 206999720 218466302 241515499 267260806 436932604 483030998 534521612 546165755 668152015 873865208 966061996 1069043224 1092331510 1207577495 1336304030 1932123992 2184663020 2415154990 2672608060 4369326040 4830309980 5345216120 9660619960 26325189391 52650378782 105300757564 131625946955 210601515128 263251893910 526503787820 1053007575640