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537368013 = 35713191279
BaseRepresentation
bin100000000001111…
…001010111001101
31101110011010100000
4200001321113031
52100031234023
6125153354513
716213360410
oct4001712715
91343133300
10537368013
1125636a5a6
1212bb68a39
1387439950
1451521b77
153229a243
hex200795cd

537368013 has 96 divisors (see below), whose sum is σ = 1043660800. Its totient is φ = 268318656.

The previous prime is 537368009. The next prime is 537368059. The reversal of 537368013 is 310863735.

537368013 is a `hidden beast` number, since 537 + 36 + 80 + 13 = 666.

It is not a de Polignac number, because 537368013 - 22 = 537368009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537368003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419508 + ... + 420786.

Almost surely, 2537368013 is an apocalyptic number.

It is an amenable number.

537368013 is a deficient number, since it is larger than the sum of its proper divisors (506292787).

537368013 is a wasteful number, since it uses less digits than its factorization.

537368013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 537368013 is about 23181.1995591255. The cubic root of 537368013 is about 813.0001089310. Note that the first 3 decimals are identical.

The spelling of 537368013 in words is "five hundred thirty-seven million, three hundred sixty-eight thousand, thirteen".

Divisors: 1 3 7 9 13 19 21 27 39 57 63 81 91 117 133 171 189 243 247 273 351 399 513 567 741 819 1053 1197 1279 1539 1701 1729 2223 2457 3159 3591 3837 4617 5187 6669 7371 8953 10773 11511 15561 16627 20007 22113 24301 26859 32319 34533 46683 49881 60021 72903 80577 103599 116389 140049 149643 170107 218709 241731 310797 315913 349167 420147 448929 510321 656127 725193 947739 1047501 1346787 1530963 1968381 2175579 2211391 2843217 3142503 4040361 4592889 5905143 6634173 8529651 9427509 13778667 19902519 25588953 28282527 41336001 59707557 76766859 179122671 537368013