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10055453204240 = 245379413610109
BaseRepresentation
bin1001001001010011011110…
…1101110101111100010000
31022121021212211012220100122
42102110313231311330100
52304222032010013430
633215224511405412
72055324334660553
oct222246755657420
938537784186318
1010055453204240
113227548209134
121164992b23868
1357c2c0906102
1426a987bb469a
15126873411ee5
hex92537b75f10

10055453204240 has 80 divisors (see below), whose sum is σ = 24036314546160. Its totient is φ = 3909313751040.

The previous prime is 10055453204233. The next prime is 10055453204257. The reversal of 10055453204240 is 4240235455001.

It can be written as a sum of positive squares in 8 ways, for example, as 167899979536 + 9887553224704 = 409756^2 + 3144448^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100554532042402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10055453204240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 980306 + ... + 4590414.

It is an arithmetic number, because the mean of its divisors is an integer number (300453931827).

Almost surely, 210055453204240 is an apocalyptic number.

10055453204240 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 10055453204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12018157273080).

10055453204240 is an abundant number, since it is smaller than the sum of its proper divisors (13980861341920).

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

10055453204240 is a wasteful number, since it uses less digits than its factorization.

10055453204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611100 (or 3611094 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

Adding to 10055453204240 its reverse (4240235455001), we get a palindrome (14295688659241).

The spelling of 10055453204240 in words is "ten trillion, fifty-five billion, four hundred fifty-three million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 941 1480 1882 2960 3764 4705 7528 9410 15056 18820 34817 37640 69634 75280 139268 174085 278536 348170 557072 696340 1392680 2785360 3610109 7220218 14440436 18050545 28880872 36101090 57761744 72202180 133574033 144404360 267148066 288808720 534296132 667870165 1068592264 1335740330 2137184528 2671480660 3397112569 5342961320 6794225138 10685922640 13588450276 16985562845 27176900552 33971125690 54353801104 67942251380 125693165053 135884502760 251386330106 271769005520 502772660212 628465825265 1005545320424 1256931650530 2011090640848 2513863301060 5027726602120 10055453204240