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418399972424 = 23729312268091
BaseRepresentation
bin1100001011010101001…
…01001110110001001000
31110222222000100211000222
412011222211032301020
523323340343104144
6520113231245212
742141225041330
oct6055245166110
91428860324028
10418399972424
11151495970a85
1269109379808
13305bb6a07a5
1416371b880c0
15ad3be5c2ee
hex616a94ec48

418399972424 has 96 divisors (see below), whose sum is σ = 958375281600. Its totient is φ = 167545526400.

The previous prime is 418399972423. The next prime is 418399972429. The reversal of 418399972424 is 424279993814.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is not an unprimeable number, because it can be changed into a prime (418399972423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426619 + ... + 1694709.

It is an arithmetic number, because the mean of its divisors is an integer number (9983075850).

Almost surely, 2418399972424 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 418399972424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479187640800).

418399972424 is an abundant number, since it is smaller than the sum of its proper divisors (539975309176).

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

418399972424 is a wasteful number, since it uses less digits than its factorization.

418399972424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268195 (or 268160 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 62.

The spelling of 418399972424 in words is "four hundred eighteen billion, three hundred ninety-nine million, nine hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 29 31 56 58 62 116 124 203 217 232 248 406 434 812 868 899 961 1624 1736 1798 1922 3596 3844 6293 6727 7192 7688 12586 13454 25172 26908 27869 50344 53816 55738 111476 195083 222952 268091 390166 536182 780332 1072364 1560664 1876637 2144728 3753274 7506548 7774639 8310821 15013096 15549278 16621642 31098556 33243284 54422473 58175747 62197112 66486568 108844946 116351494 217689892 232702988 241013809 257635451 435379784 465405976 482027618 515270902 964055236 1030541804 1687096663 1803448157 1928110472 2061083608 3374193326 3606896314 6748386652 7213792628 7471428079 13496773304 14427585256 14942856158 29885712316 52299996553 59771424632 104599993106 209199986212 418399972424