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24130932384 = 2531370127583
BaseRepresentation
bin10110011110010100…
…001100111010100000
32022021201121101011110
4112132110030322200
5343410004314014
615030253343320
71512662353356
oct263624147240
968251541143
1024130932384
11a263311729
124815497b40
132377480320
14124cb9d7d6
15963755d59
hex59e50cea0

24130932384 has 96 divisors (see below), whose sum is σ = 68316079104. Its totient is φ = 7414041600.

The previous prime is 24130932361. The next prime is 24130932443. The reversal of 24130932384 is 48323903142.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 861057 + ... + 888639.

It is an arithmetic number, because the mean of its divisors is an integer number (711625824).

Almost surely, 224130932384 is an apocalyptic number.

24130932384 is a gapful number since it is divisible by the number (24) 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 24130932384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34158039552).

24130932384 is an abundant number, since it is smaller than the sum of its proper divisors (44185146720).

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

24130932384 is a wasteful number, since it uses less digits than its factorization.

24130932384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28310 (or 28302 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 24130932384 in words is "twenty-four billion, one hundred thirty million, nine hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 701 1248 1402 2103 2804 4206 5608 8412 9113 11216 16824 18226 22432 27339 27583 33648 36452 54678 55166 67296 72904 82749 109356 110332 145808 165498 218712 220664 291616 330996 358579 437424 441328 661992 717158 874848 882656 1075737 1323984 1434316 2151474 2647968 2868632 4302948 5737264 8605896 11474528 17211792 19335683 34423584 38671366 58007049 77342732 116014098 154685464 232028196 251363879 309370928 464056392 502727758 618741856 754091637 928112784 1005455516 1508183274 1856225568 2010911032 3016366548 4021822064 6032733096 8043644128 12065466192 24130932384