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42336677663324 = 221122571288926407
BaseRepresentation
bin10011010000001010001101…
…01000100001001001011100
312112220100100212012020101122
421220011012220201021130
521022121003440211244
6230013111244030112
711626503224342252
oct1150050650411134
9175810325166348
1042336677663324
111254297a90a500
1248b916b832338
131a81440609aa5
14a6516b3265d2
154d641a3791ee
hex268146a2125c

42336677663324 has 72 divisors (see below), whose sum is σ = 81763187825760. Its totient is φ = 19166852136960.

The previous prime is 42336677663303. The next prime is 42336677663351.

42336677663324 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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1603223729 + ... + 1603250135.

Almost surely, 242336677663324 is an apocalyptic number.

42336677663324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42336677663324 is a deficient number, since it is larger than the sum of its proper divisors (39426510162436).

42336677663324 is a wasteful number, since it uses less digits than its factorization.

42336677663324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39579 (or 39566 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 62.

The spelling of 42336677663324 in words is "forty-two trillion, three hundred thirty-six billion, six hundred seventy-seven million, six hundred sixty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 121 242 257 484 514 1028 2827 5654 11308 12889 25778 26407 31097 51556 52814 62194 105628 124388 141779 283558 290477 567116 580954 1161908 1559569 3119138 3195247 3312473 6238276 6390494 6624946 6786599 12780988 13249892 13573198 27146396 36437203 72874406 74652589 145748812 149305178 298610356 340359823 400809233 680719646 801618466 821178479 1361439292 1603236932 1642356958 3284713916 3743958053 7487916106 14975832212 41183538583 82367077166 87472474511 164734154332 174944949022 349889898044 962197219621 1924394439242 3848788878484 10584169415831 21168338831662 42336677663324