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4743993474 = 2331126330367
BaseRepresentation
bin1000110101100001…
…11001100010000010
3110020121122211122000
410122300321202002
534203430242344
62102424124430
7225363164523
oct43260714202
913217584560
104743993474
112014951570
12b04906716
135a7ac523c
143300a084a
151cb737a69
hex11ac39882

4743993474 has 64 divisors (see below), whose sum is σ = 11544698880. Its totient is φ = 1432060560.

The previous prime is 4743993431. The next prime is 4743993479.

4743993474 is a `hidden beast` number, since 47 + 43 + 9 + 93 + 474 = 666.

4743993474 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4743993474.

It is not an unprimeable number, because it can be changed into a prime (4743993479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141039 + ... + 171405.

It is an arithmetic number, because the mean of its divisors is an integer number (180385920).

Almost surely, 24743993474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4743993474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772349440).

4743993474 is an abundant number, since it is smaller than the sum of its proper divisors (6800705406).

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

4743993474 is a wasteful number, since it uses less digits than its factorization.

4743993474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30652 (or 30646 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 4743993474 is about 68876.6540563637. The cubic root of 4743993474 is about 1680.2788503969.

The spelling of 4743993474 in words is "four billion, seven hundred forty-three million, nine hundred ninety-three thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 263 297 526 594 789 1578 2367 2893 4734 5786 7101 8679 14202 17358 26037 30367 52074 60734 78111 91101 156222 182202 273303 334037 546606 668074 819909 1002111 1639818 2004222 3006333 6012666 7986521 9018999 15973042 18037998 23959563 47919126 71878689 87851731 143757378 175703462 215636067 263555193 431272134 527110386 790665579 1581331158 2371996737 4743993474