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4967712324 = 22321726912
BaseRepresentation
bin1001010000001100…
…10100011001000100
3110211012121221012100
410220012110121010
540133213243244
62140535152100
7234050600211
oct45006243104
913735557170
104967712324
11211a164883
12b67815630
13612265563
14351a98b08
151e11c9b69
hex128194644

4967712324 has 81 divisors (see below), whose sum is σ = 13358719101. Its totient is φ = 1556242560.

The previous prime is 4967712311. The next prime is 4967712349. The reversal of 4967712324 is 4232177694.

The square root of 4967712324 is 70482.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3867596100 + 1100116224 = 62190^2 + 33168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4967712324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7188819 + ... + 7189509.

Almost surely, 24967712324 is an apocalyptic number.

4967712324 is the 70482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4967712324

4967712324 is an abundant number, since it is smaller than the sum of its proper divisors (8391006777).

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

4967712324 is a wasteful number, since it uses less digits than its factorization.

4967712324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 713 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The cubic root of 4967712324 is about 1706.2872519983.

It can be divided in two parts, 49677 and 12324, that added together give a square (62001 = 2492).

The spelling of 4967712324 in words is "four billion, nine hundred sixty-seven million, seven hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 691 867 1156 1382 1734 2073 2601 2764 3468 4146 5202 6219 8292 10404 11747 12438 23494 24876 35241 46988 70482 105723 140964 199699 211446 399398 422892 477481 599097 798796 954962 1198194 1432443 1797291 1909924 2396388 2864886 3594582 4297329 5729772 7189164 8117177 8594658 16234354 17189316 24351531 32468708 48703062 73054593 97406124 137992009 146109186 275984018 292218372 413976027 551968036 827952054 1241928081 1655904108 2483856162 4967712324