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116533016424 = 233211232278143
BaseRepresentation
bin110110010000111101…
…0001011011101101000
3102010210101102121010100
41230201322023131220
53402124423011144
6125311242545400
711263540203366
oct1544172133550
9363711377110
10116533016424
114546a939040
121a702808260
13acb1b3a9b6
1458d6b00636
15307091b269
hex1b21e8b768

116533016424 has 144 divisors (see below), whose sum is σ = 359923898880. Its totient is φ = 33777564480.

The previous prime is 116533016399. The next prime is 116533016449. The reversal of 116533016424 is 424610335611.

116533016424 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 3 + 3 + 0 + 1 + 642 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (116533016399) and next prime (116533016449).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 279897 + ... + 558039.

It is an arithmetic number, because the mean of its divisors is an integer number (2499471520).

Almost surely, 2116533016424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116533016424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179961949440).

116533016424 is an abundant number, since it is smaller than the sum of its proper divisors (243390882456).

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

116533016424 is a wasteful number, since it uses less digits than its factorization.

116533016424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278212 (or 278182 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 116533016424 in words is "one hundred sixteen billion, five hundred thirty-three million, sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 529 552 759 792 828 1012 1058 1518 1587 1656 2024 2116 2277 3036 3174 4232 4554 4761 5819 6072 6348 9108 9522 11638 12696 17457 18216 19044 23276 34914 38088 46552 52371 69828 104742 139656 209484 278143 418968 556286 834429 1112572 1668858 2225144 2503287 3059573 3337716 5006574 6119146 6397289 6675432 9178719 10013148 12238292 12794578 18357438 19191867 20026296 24476584 25589156 27536157 36714876 38383734 51178312 55072314 57575601 70370179 73429752 76767468 110144628 115151202 140740358 147137647 153534936 211110537 220289256 230302404 281480716 294275294 422221074 441412941 460604808 562961432 588550588 633331611 844442148 882825882 1177101176 1266663222 1324238823 1618514117 1688884296 1765651764 2533326444 2648477646 3237028234 3531303528 4855542351 5066652888 5296955292 6474056468 9711084702 10593910584 12948112936 14566627053 19422169404 29133254106 38844338808 58266508212 116533016424