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427233340779 = 3731724423103
BaseRepresentation
bin1100011011110010001…
…01110110110101101011
31111211202121220102101220
412031321011312311223
523444433213401104
6524133541113123
742603145323000
oct6157105666553
91454677812356
10427233340779
111552090a0403
126a9736b87a3
133139877a97b
141696cdc58a7
15b1a76c17d9
hex6379176d6b

427233340779 has 32 divisors (see below), whose sum is σ = 703385395200. Its totient is φ = 229772543616.

The previous prime is 427233340771. The next prime is 427233340811. The reversal of 427233340779 is 977043332724.

It is not a de Polignac number, because 427233340779 - 23 = 427233340771 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (427233340771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12194059 + ... + 12229044.

It is an arithmetic number, because the mean of its divisors is an integer number (21980793600).

Almost surely, 2427233340779 is an apocalyptic number.

427233340779 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

427233340779 is a deficient number, since it is larger than the sum of its proper divisors (276152054421).

427233340779 is a wasteful number, since it uses less digits than its factorization.

427233340779 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24423144 (or 24423130 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 51.

The spelling of 427233340779 in words is "four hundred twenty-seven billion, two hundred thirty-three million, three hundred forty thousand, seven hundred seventy-nine".

Divisors: 1 3 7 17 21 49 51 119 147 343 357 833 1029 2499 5831 17493 24423103 73269309 170961721 415192751 512885163 1196732047 1245578253 2906349257 3590196141 8377124329 8719047771 20344444799 25131372987 61033334397 142411113593 427233340779