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427534435724 = 2211241107271743
BaseRepresentation
bin1100011100010110000…
…10011100010110001100
31111212112121110122000112
412032023002130112030
524001042303420344
6524223454415152
742613462512554
oct6161302342614
91455477418015
10427534435724
11155353052500
126aa385014b8
1331415c6cc66
141699ada2164
15b1c3d49c9e
hex638b09c58c

427534435724 has 144 divisors (see below), whose sum is σ = 854603301888. Its totient is φ = 186877152000.

The previous prime is 427534435709. The next prime is 427534435747.

427534435724 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 575416097 + ... + 575416839.

It is an arithmetic number, because the mean of its divisors is an integer number (5934745152).

Almost surely, 2427534435724 is an apocalyptic number.

427534435724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427534435724 is a deficient number, since it is larger than the sum of its proper divisors (427068866164).

427534435724 is a wasteful number, since it uses less digits than its factorization.

427534435724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1175 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 50.

The spelling of 427534435724 in words is "four hundred twenty-seven billion, five hundred thirty-four million, four hundred thirty-five thousand, seven hundred twenty-four".

Divisors: 1 2 4 11 22 41 44 82 107 121 164 214 242 271 428 451 484 542 743 902 1084 1177 1486 1804 2354 2972 2981 4387 4708 4961 5962 8173 8774 9922 11111 11924 12947 16346 17548 19844 22222 25894 28997 30463 32692 32791 44444 48257 51788 57994 60926 65582 79501 89903 96514 115988 121852 122221 131164 159002 179806 193028 201353 244442 318004 318967 335093 359612 402706 488884 530827 637934 670186 805412 874511 1061654 1188877 1275868 1340372 1344431 1749022 2123308 2214883 2377754 2688862 3259541 3498044 3508637 3686023 4429766 4755508 5377724 6519082 7017274 7372046 8255473 8859532 9619621 13038164 13077647 14034548 14744092 16510946 19239242 21544771 24363713 26155294 33021892 35854951 38478484 43089542 48727426 52310588 71709902 86179084 90810203 97454852 143419804 143854117 181620406 236992481 287708234 363240812 394404461 473984962 575416468 788808922 883335611 947969924 998912233 1577617844 1766671222 1997824466 2606917291 3533342444 3995648932 5213834582 9716691721 10427669164 19433383442 38866766884 106883608931 213767217862 427534435724