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2426642935344 = 243347119515511
BaseRepresentation
bin100011010011111111001…
…100001010111000110000
322120222120220210120101000
4203103333030022320300
5304224231042412334
65054441231442000
7340214321422305
oct43237714127060
98528526716330
102426642935344
11856151746911
12332371986300
13147aa68c55c4
14856432a90ac
15431c8929299
hex234ff30ae30

2426642935344 has 80 divisors (see below), whose sum is σ = 7113563274240. Its totient is φ = 791670738240.

The previous prime is 2426642935331. The next prime is 2426642935399. The reversal of 2426642935344 is 4435392466242.

2426642935344 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 6 + 4 + 293 + 5 + 344 = 666.

2426642935344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 59737452 + ... + 59778059.

It is an arithmetic number, because the mean of its divisors is an integer number (88919540928).

Almost surely, 22426642935344 is an apocalyptic number.

2426642935344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2426642935344 is an abundant number, since it is smaller than the sum of its proper divisors (4686920338896).

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

2426642935344 is a wasteful number, since it uses less digits than its factorization.

2426642935344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119515575 (or 119515563 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 54.

The spelling of 2426642935344 in words is "two trillion, four hundred twenty-six billion, six hundred forty-two million, nine hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 94 108 141 144 188 216 282 376 423 432 564 752 846 1128 1269 1692 2256 2538 3384 5076 6768 10152 20304 119515511 239031022 358546533 478062044 717093066 956124088 1075639599 1434186132 1912248176 2151279198 2868372264 3226918797 4302558396 5617229017 5736744528 6453837594 8605116792 11234458034 12907675188 16851687051 17210233584 22468916068 25815350376 33703374102 44937832136 50555061153 51630700752 67406748204 89875664272 101110122306 134813496408 151665183459 202220244612 269626992816 303330366918 404440489224 606660733836 808880978448 1213321467672 2426642935344