Search a number
-
+
1055852055700 = 22521335390677
BaseRepresentation
bin11110101110101011010…
…11111100110010010100
310201221100010220211100121
433113111223330302110
5114244341111240300
62125015101521324
7136165666251451
oct17272553746224
93657303824317
101055852055700
11377869a61012
1215076a873244
1378749575000
1439164074828
151c6e9c6d81a
hexf5d5afcc94

1055852055700 has 144 divisors (see below), whose sum is σ = 2528904233520. Its totient is φ = 382493130240.

The previous prime is 1055852055689. The next prime is 1055852055703. The reversal of 1055852055700 is 75502585501.

It can be written as a sum of positive squares in 24 ways, for example, as 767425056784 + 288426998916 = 876028^2 + 537054^2 .

It is a super-2 number, since 2×10558520557002 (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 (1055852055703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11598762 + ... + 11689438.

It is an arithmetic number, because the mean of its divisors is an integer number (17561834955).

Almost surely, 21055852055700 is an apocalyptic number.

1055852055700 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 1055852055700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264452116760).

1055852055700 is an abundant number, since it is smaller than the sum of its proper divisors (1473052177820).

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

1055852055700 is a wasteful number, since it uses less digits than its factorization.

1055852055700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90783 (or 90750 counting only the distinct ones).

The product of its (nonzero) digits is 350000, while the sum is 43.

The spelling of 1055852055700 in words is "one trillion, fifty-five billion, eight hundred fifty-two million, fifty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 130 169 212 260 265 325 338 530 650 676 689 845 1060 1300 1325 1378 1690 2197 2650 2756 3380 3445 4225 4394 5300 6890 8450 8788 8957 10985 13780 16900 17225 17914 21970 34450 35828 43940 44785 54925 68900 89570 90677 109850 116441 179140 181354 219700 223925 232882 362708 447850 453385 465764 582205 895700 906770 1164410 1178801 1813540 2266925 2328820 2357602 2911025 4533850 4715204 4805881 5822050 5894005 9067700 9611762 11644100 11788010 15324413 19223524 23576020 24029405 29470025 30648826 48058810 58940050 61297652 62476453 76622065 96117620 117880100 120147025 124952906 153244130 199217369 240294050 249905812 306488260 312382265 383110325 398434738 480588100 624764530 766220650 796869476 812193889 996086845 1249529060 1532441300 1561911325 1624387778 1992173690 3123822650 3248775556 3984347380 4060969445 4980434225 6247645300 8121938890 9960868450 10558520557 16243877780 19921736900 20304847225 21117041114 40609694450 42234082228 52792602785 81219388900 105585205570 211170411140 263963013925 527926027850 1055852055700