Search a number
-
+
116366410350 = 2345238777411
BaseRepresentation
bin110110001011111111…
…0101000001001101110
3102010100202221010120000
41230113332220021232
53401304300112400
6125242532005130
711256445111401
oct1542776501156
9363322833500
10116366410350
1145394894473
121a676a607a6
13ac86476418
1458bc931d38
153060eab600
hex1b17fa826e

116366410350 has 120 divisors (see below), whose sum is σ = 323453261208. Its totient is φ = 31018852800.

The previous prime is 116366410343. The next prime is 116366410361. The reversal of 116366410350 is 53014663611.

116366410350 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 6 + 641 + 0 + 3 + 5 + 0 = 666.

It is a super-2 number, since 2×1163664103502 (a number of 23 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 59 ways as a sum of consecutive naturals, for example, 15698145 + ... + 15705555.

Almost surely, 2116366410350 is an apocalyptic number.

116366410350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116366410350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161726630604).

116366410350 is an abundant number, since it is smaller than the sum of its proper divisors (207086850858).

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

116366410350 is a wasteful number, since it uses less digits than its factorization.

116366410350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11312 (or 11298 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 116366410350 in words is "one hundred sixteen billion, three hundred sixty-six million, four hundred ten thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 3877 4050 7411 7754 11631 14822 19385 22233 23262 34893 37055 38770 44466 58155 66699 69786 74110 96925 104679 111165 116310 133398 174465 185275 193850 200097 209358 222330 290775 314037 333495 348930 370550 400194 523395 555825 581550 600291 628074 666990 872325 1000485 1046790 1111650 1200582 1570185 1667475 1744650 2000970 2616975 3001455 3140370 3334950 5002425 5233950 6002910 7850925 10004850 15007275 15701850 28732447 30014550 57464894 86197341 143662235 172394682 258592023 287324470 430986705 517184046 718311175 775776069 861973410 1292960115 1436622350 1551552138 2154933525 2327328207 2585920230 3878880345 4309867050 4654656414 6464800575 7757760690 11636641035 12929601150 19394401725 23273282070 38788803450 58183205175 116366410350