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4218668124 = 2231131959607
BaseRepresentation
bin1111101101110011…
…1100010001011100
3101220000011112201120
43323130330101130
532114434334444
61534340410540
7206354041656
oct37334742134
911800145646
104218668124
111875367890
129989a6a50
13523013b38
142c03d56d6
1519a56ab19
hexfb73c45c

4218668124 has 24 divisors (see below), whose sum is σ = 10738428288. Its totient is φ = 1278384240.

The previous prime is 4218668117. The next prime is 4218668147.

4218668124 is nontrivially palindromic in base 10.

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 7 ways as a sum of consecutive naturals, for example, 15979672 + ... + 15979935.

It is an arithmetic number, because the mean of its divisors is an integer number (447434512).

Almost surely, 24218668124 is an apocalyptic number.

4218668124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4218668124 is an abundant number, since it is smaller than the sum of its proper divisors (6519760164).

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

4218668124 is a wasteful number, since it uses less digits than its factorization.

4218668124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31959625 (or 31959623 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 4218668124 is about 64951.2749990329. The cubic root of 4218668124 is about 1615.8155643307.

It can be divided in two parts, 42186681 and 24, that added together give a triangular number (42186705 = T9185).

The spelling of 4218668124 in words is "four billion, two hundred eighteen million, six hundred sixty-eight thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 31959607 63919214 95878821 127838428 191757642 351555677 383515284 703111354 1054667031 1406222708 2109334062 4218668124