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4674354012 = 2232714494073
BaseRepresentation
bin1000101101001110…
…01111101101011100
3110001202121210020200
410112213033231130
534033113312022
62051455343500
7223556232156
oct42647175534
913052553220
104674354012
111a89607399
12aa5521b90
13596551863
14324b33ad6
151c557dbac
hex1169cfb5c

4674354012 has 72 divisors (see below), whose sum is σ = 12011781600. Its totient is φ = 1532375040.

The previous prime is 4674354007. The next prime is 4674354029. The reversal of 4674354012 is 2104534764.

4674354012 is a `hidden beast` number, since 4 + 67 + 43 + 540 + 12 = 666.

It is a super-2 number, since 2×46743540122 = 43699170859000992288, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 1145608 + ... + 1149680.

It is an arithmetic number, because the mean of its divisors is an integer number (166830300).

Almost surely, 24674354012 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 4674354012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005890800).

4674354012 is an abundant number, since it is smaller than the sum of its proper divisors (7337427588).

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

4674354012 is a wasteful number, since it uses less digits than its factorization.

4674354012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4674354012 is about 68369.2475605809. The cubic root of 4674354012 is about 1672.0164023749.

Adding to 4674354012 its reverse (2104534764), we get a palindrome (6778888776).

The spelling of 4674354012 in words is "four billion, six hundred seventy-four million, three hundred fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 449 639 852 898 1278 1347 1796 2556 2694 4041 4073 5388 8082 8146 12219 16164 16292 24438 31879 36657 48876 63758 73314 95637 127516 146628 191274 286911 289183 382548 573822 578366 867549 1147644 1156732 1735098 1828777 2602647 3470196 3657554 5205294 5486331 7315108 10410588 10972662 16458993 21945324 32917986 65835972 129843167 259686334 389529501 519372668 779059002 1168588503 1558118004 2337177006 4674354012