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116424114750 = 2345352310993
BaseRepresentation
bin110110001101101101…
…0110000001000111110
3102010111210111211010000
41230123122300020332
53401414033133000
6125252352455130
711261045434656
oct1543332601076
9363453454100
10116424114750
1145414417659
121a69224a4a6
13ac953cb538
1458c6473366
1530660a9000
hex1b1b6b023e

116424114750 has 160 divisors (see below), whose sum is σ = 326225753568. Its totient is φ = 30984249600.

The previous prime is 116424114727. The next prime is 116424114767. The reversal of 116424114750 is 57411424611.

116424114750 is a `hidden beast` number, since 1 + 1 + 642 + 4 + 1 + 1 + 4 + 7 + 5 + 0 = 666.

It is a super-3 number, since 3×1164241147503 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10585254 + ... + 10596246.

Almost surely, 2116424114750 is an apocalyptic number.

116424114750 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 116424114750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163112876784).

116424114750 is an abundant number, since it is smaller than the sum of its proper divisors (209801638818).

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

116424114750 is a wasteful number, since it uses less digits than its factorization.

116424114750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545 (or 11526 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 116424114750 in words is "one hundred sixteen billion, four hundred twenty-four million, one hundred fourteen thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 225 250 270 375 405 450 523 675 750 810 1046 1125 1350 1569 2025 2250 2615 3138 3375 4050 4707 5230 6750 7845 9414 10125 10993 13075 14121 15690 20250 21986 23535 26150 28242 32979 39225 42363 47070 54965 65375 65958 70605 78450 84726 98937 109930 117675 130750 141210 164895 196125 197874 211815 235350 274825 296811 329790 353025 392250 423630 494685 549650 588375 593622 706050 824475 890433 989370 1059075 1176750 1374125 1484055 1648950 1765125 1780866 2118150 2473425 2748250 2968110 3530250 4122375 4452165 4946850 5295375 5749339 7420275 8244750 8904330 10590750 11498678 12367125 14840550 17248017 22260825 24734250 28746695 34496034 37101375 44521650 51744051 57493390 74202750 86240085 103488102 111304125 143733475 155232153 172480170 222608250 258720255 287466950 310464306 431200425 465696459 517440510 718667375 776160765 862400850 931392918 1293601275 1437334750 1552321530 2156002125 2328482295 2587202550 3880803825 4312004250 4656964590 6468006375 7761607650 11642411475 12936012750 19404019125 23284822950 38808038250 58212057375 116424114750