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116963020160 = 275761427997
BaseRepresentation
bin110110011101110001…
…0100000110110000000
3102011220100120001100122
41230323202200312000
53404020013121120
6125422043235412
711310311160530
oct1547342406600
9364810501318
10116963020160
1145670637228
121a802818b68
13b04cc55b8c
145937c754c0
153098559a25
hex1b3b8a0d80

116963020160 has 128 divisors (see below), whose sum is σ = 324799122240. Its totient is φ = 39444111360.

The previous prime is 116963020133. The next prime is 116963020199. The reversal of 116963020160 is 61020369611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 116963020160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59282 + ... + 487278.

Almost surely, 2116963020160 is an apocalyptic number.

116963020160 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 116963020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162399561120).

116963020160 is an abundant number, since it is smaller than the sum of its proper divisors (207836102080).

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

116963020160 is an equidigital number, since it uses as much as digits as its factorization.

116963020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428084 (or 428072 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

Adding to 116963020160 its reverse (61020369611), we get a palindrome (177983389771).

The spelling of 116963020160 in words is "one hundred sixteen billion, nine hundred sixty-three million, twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 61 64 70 80 112 122 128 140 160 224 244 280 305 320 427 448 488 560 610 640 854 896 976 1120 1220 1708 1952 2135 2240 2440 3416 3904 4270 4480 4880 6832 7808 8540 9760 13664 17080 19520 27328 34160 39040 54656 68320 136640 273280 427997 855994 1711988 2139985 2995979 3423976 4279970 5991958 6847952 8559940 11983916 13695904 14979895 17119880 23967832 26107817 27391808 29959790 34239760 47935664 52215634 54783616 59919580 68479520 95871328 104431268 119839160 130539085 136959040 182754719 191742656 208862536 239678320 261078170 273918080 365509438 383485312 417725072 479356640 522156340 731018876 835450144 913773595 958713280 1044312680 1462037752 1670900288 1827547190 1917426560 2088625360 2924075504 3341800576 3655094380 4177250720 5848151008 7310188760 8354501440 11696302016 14620377520 16709002880 23392604032 29240755040 58481510080 116963020160