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116422334550 = 232521498112141
BaseRepresentation
bin110110001101101001…
…1111101100001010110
3102010111200011101010200
41230123103331201112
53401413104201200
6125252250401330
711261024341614
oct1543323754126
9363450141120
10116422334550
1145413411115
121a691730246
13ac94c27172
1458c612c6b4
153065d56800
hex1b1b4fd856

116422334550 has 144 divisors (see below), whose sum is σ = 315422780400. Its totient is φ = 30785184000.

The previous prime is 116422334531. The next prime is 116422334551. The reversal of 116422334550 is 55433224611.

116422334550 is a `hidden beast` number, since 1 + 1 + 642 + 2 + 3 + 3 + 4 + 5 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116422334551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54376480 + ... + 54378620.

It is an arithmetic number, because the mean of its divisors is an integer number (2190435975).

Almost surely, 2116422334550 is an apocalyptic number.

116422334550 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 116422334550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157711390200).

116422334550 is an abundant number, since it is smaller than the sum of its proper divisors (199000445850).

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

116422334550 is a wasteful number, since it uses less digits than its factorization.

116422334550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 116422334550 in words is "one hundred sixteen billion, four hundred twenty-two million, three hundred thirty-four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 149 150 225 298 447 450 745 811 894 1341 1490 1622 2141 2235 2433 2682 3725 4055 4282 4470 4866 6423 6705 7299 7450 8110 10705 11175 12165 12846 13410 14598 19269 20275 21410 22350 24330 32115 33525 36495 38538 40550 53525 60825 64230 67050 72990 96345 107050 120839 121650 160575 182475 192690 241678 319009 321150 362517 364950 481725 604195 638018 725034 957027 963450 1087551 1208390 1595045 1736351 1812585 1914054 2175102 2871081 3020975 3190090 3472702 3625170 4785135 5209053 5437755 5742162 6041950 7975225 8681755 9062925 9570270 10418106 10875510 14355405 15627159 15950450 17363510 18125850 23925675 26045265 27188775 28710810 31254318 43408775 47851350 52090530 54377550 71777025 78135795 86817550 130226325 143554050 156271590 258716299 260452650 390678975 517432598 776148897 781357950 1293581495 1552297794 2328446691 2587162990 3880744485 4656893382 6467907475 7761488970 11642233455 12935814950 19403722425 23284466910 38807444850 58211167275 116422334550