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1055110505560 = 2353115716633259
BaseRepresentation
bin11110101101010010111…
…11001010010001011000
310201212102110120011210121
433112221133022101120
5114241331242134220
62124413331523024
7136141423214626
oct17265137122130
93655373504717
101055110505560
11377519412461
121505a2459474
137865ba48647
14390d37a2516
151c6a4adeeaa
hexf5a97ca458

1055110505560 has 128 divisors (see below), whose sum is σ = 2468428185600. Its totient is φ = 405459924480.

The previous prime is 1055110505509. The next prime is 1055110505593. The reversal of 1055110505560 is 655050115501.

It is a super-2 number, since 2×10551105055602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323751211 + ... + 323754469.

It is an arithmetic number, because the mean of its divisors is an integer number (19284595200).

Almost surely, 21055110505560 is an apocalyptic number.

1055110505560 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 1055110505560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234214092800).

1055110505560 is an abundant number, since it is smaller than the sum of its proper divisors (1413317680040).

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

1055110505560 is a wasteful number, since it uses less digits than its factorization.

1055110505560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 34.

The spelling of 1055110505560 in words is "one trillion, fifty-five billion, one hundred ten million, five hundred five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 157 248 310 314 620 628 785 1240 1256 1570 1663 3140 3259 3326 4867 6280 6518 6652 8315 9734 13036 13304 16295 16630 19468 24335 26072 32590 33260 38936 48670 51553 65180 66520 97340 101029 103106 130360 194680 202058 206212 257765 261091 404116 412424 505145 511663 515530 522182 808232 1010290 1023326 1031060 1044364 1305455 2020580 2046652 2062120 2088728 2558315 2610910 4041160 4093304 5116630 5221820 5419717 8093821 10233260 10443640 10839434 15861553 16187642 20466520 21678868 27098585 31723106 32375284 40469105 43357736 54197170 63446212 64750568 79307765 80938210 108394340 126892424 158615530 161876420 168011227 216788680 317231060 323752840 336022454 634462120 672044908 840056135 850895569 1344089816 1680112270 1701791138 3360224540 3403582276 4254477845 6720449080 6807164552 8508955690 17017911380 26377762639 34035822760 52755525278 105511050556 131888813195 211022101112 263777626390 527555252780 1055110505560