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673763013 = 327112274283
BaseRepresentation
bin101000001010001…
…100111011000101
31201221210201002200
4220022030323011
52334440404023
6150505025113
722460614440
oct5012147305
91657721080
10673763013
1131635a140
12169785199
13a9784151
14656a8657
153e23d743
hex2828cec5

673763013 has 48 divisors (see below), whose sum is σ = 1218986496. Its totient is φ = 348383520.

The previous prime is 673763011. The next prime is 673763029. The reversal of 673763013 is 310367376.

673763013 is a `hidden beast` number, since 6 + 7 + 3 + 7 + 630 + 13 = 666.

It is not a de Polignac number, because 673763013 - 21 = 673763011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673763011) 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 47 ways as a sum of consecutive naturals, for example, 155170 + ... + 159452.

It is an arithmetic number, because the mean of its divisors is an integer number (25395552).

Almost surely, 2673763013 is an apocalyptic number.

673763013 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

673763013 is a deficient number, since it is larger than the sum of its proper divisors (545223483).

673763013 is a wasteful number, since it uses less digits than its factorization.

673763013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4534 (or 4531 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 36.

The square root of 673763013 is about 25956.9453711333. The cubic root of 673763013 is about 876.6691461101.

The spelling of 673763013 in words is "six hundred seventy-three million, seven hundred sixty-three thousand, thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 227 231 681 693 1589 2043 2497 4283 4767 7491 12849 14301 17479 22473 29981 38547 47113 52437 89943 141339 157311 269829 329791 424017 972241 989373 2916723 2968119 6805687 8750169 10694651 20417061 32083953 61251183 74862557 96251859 224587671 673763013