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933379331049 = 321123126114621
BaseRepresentation
bin11011001010100011011…
…11100101001111101001
310022020012210212210022200
431211101233211033221
5110243030102043144
61552442154210413
7124302003260334
oct15452157451751
93266183783280
10933379331049
1132a931332300
12130a8aa23a09
136a02bcbb279
143326657b61b
151942cb78c69
hexd951be53e9

933379331049 has 108 divisors (see below), whose sum is σ = 1556477011908. Its totient is φ = 538425360000.

The previous prime is 933379331011. The next prime is 933379331051. The reversal of 933379331049 is 940133973339.

It can be written as a sum of positive squares in 2 ways, for example, as 8666306649 + 924713024400 = 93093^2 + 961620^2 .

It is not a de Polignac number, because 933379331049 - 224 = 933362553833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 933379330986 and 933379331004.

It is not an unprimeable number, because it can be changed into a prime (933379331089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 63830959 + ... + 63845579.

Almost surely, 2933379331049 is an apocalyptic number.

933379331049 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

933379331049 is a deficient number, since it is larger than the sum of its proper divisors (623097680859).

933379331049 is a wasteful number, since it uses less digits than its factorization.

933379331049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14772 (or 14727 counting only the distinct ones).

The product of its (nonzero) digits is 4960116, while the sum is 54.

The spelling of 933379331049 in words is "nine hundred thirty-three billion, three hundred seventy-nine million, three hundred thirty-one thousand, forty-nine".

Divisors: 1 3 9 11 31 33 61 93 99 121 183 279 341 363 549 671 961 1023 1089 1891 2013 2883 3069 3751 5673 6039 7381 8649 10571 11253 14621 17019 20801 22143 31713 33759 43863 58621 62403 66429 95139 116281 131589 160831 175863 187209 228811 348843 453251 482493 527589 644831 686433 891881 1046529 1359753 1447479 1769141 1934493 2059299 2675643 4079259 4985761 5307423 5803479 7093141 8026929 9810691 14050781 14957283 15922269 21279423 27648311 29432073 42152343 44871849 54843371 63838269 82944933 88296219 107917601 126457029 154558591 164530113 248834799 304131421 323752803 463675773 493590339 857097641 912394263 971258409 1391027319 1700144501 2571292923 2737182789 3345445631 5100433503 7713878769 9428074051 10036336893 15301300509 28284222153 30109010679 84852666459 103708814561 311126443683 933379331049