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2268325346672 = 247118920687339
BaseRepresentation
bin100001000000100010101…
…110011111110101110000
322000211221111022202211202
4201000202232133311300
5244131012242043142
64454015420230332
7322611134214350
oct41004256376560
98024844282752
102268325346672
117a4a9a583240
1230774969b3a8
13135b96087558
147bb04dbcb60
153e00ea19032
hex21022b9fd70

2268325346672 has 80 divisors (see below), whose sum is σ = 5540897145600. Its totient is φ = 873833157120.

The previous prime is 2268325346593. The next prime is 2268325346689. The reversal of 2268325346672 is 2766435238622.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 15 ways as a sum of consecutive naturals, for example, 10234022 + ... + 10453317.

It is an arithmetic number, because the mean of its divisors is an integer number (69261214320).

Almost surely, 22268325346672 is an apocalyptic number.

2268325346672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2268325346672 is an abundant number, since it is smaller than the sum of its proper divisors (3272571798928).

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

2268325346672 is a wasteful number, since it uses less digits than its factorization.

2268325346672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20687454 (or 20687448 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 56.

The spelling of 2268325346672 in words is "two trillion, two hundred sixty-eight billion, three hundred twenty-five million, three hundred forty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 89 112 154 176 178 308 356 616 623 712 979 1232 1246 1424 1958 2492 3916 4984 6853 7832 9968 13706 15664 27412 54824 109648 20687339 41374678 82749356 144811373 165498712 227560729 289622746 330997424 455121458 579245492 910242916 1158490984 1592925103 1820485832 1841173171 2316981968 3185850206 3640971664 3682346342 6371700412 7364692684 12743400824 12888212197 14729385368 20252904881 25486801648 25776424394 29458770736 40505809762 51552848788 81011619524 103105697576 141770334167 162023239048 206211395152 283540668334 324046478096 567081336668 1134162673336 2268325346672