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3137813343 = 33725961659
BaseRepresentation
bin1011101100000111…
…0011101101011111
322002200100102201000
42323001303231133
522411240011333
61235210121343
7140520654600
oct27301635537
98080312630
103137813343
111370239675
12736a20253
133b01074b2
1421aa3bda7
15135717713
hexbb073b5f

3137813343 has 96 divisors (see below), whose sum is σ = 5597856000. Its totient is φ = 1731119040.

The previous prime is 3137813333. The next prime is 3137813347. The reversal of 3137813343 is 3433187313.

It is a happy number.

3137813343 is a `hidden beast` number, since 313 + 7 + 8 + 1 + 334 + 3 = 666.

It is not a de Polignac number, because 3137813343 - 26 = 3137813279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3137813298 and 3137813307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3137813347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4761148 + ... + 4761806.

It is an arithmetic number, because the mean of its divisors is an integer number (58311000).

Almost surely, 23137813343 is an apocalyptic number.

3137813343 is a deficient number, since it is larger than the sum of its proper divisors (2460042657).

3137813343 is a wasteful number, since it uses less digits than its factorization.

3137813343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 789 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 3137813343 is about 56016.1882226915. The cubic root of 3137813343 is about 1464.0043544952.

The spelling of 3137813343 in words is "three billion, one hundred thirty-seven million, eight hundred thirteen thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 27 49 59 61 63 147 177 183 189 413 427 441 531 549 659 1239 1281 1323 1593 1647 1977 2891 2989 3599 3717 3843 4613 5931 8673 8967 10797 11151 11529 13839 17793 25193 26019 26901 32291 32391 38881 40199 41517 75579 78057 80703 96873 97173 116643 120597 124551 176351 226737 272167 281393 290619 349929 361791 529053 680211 816501 844179 871857 1049787 1085373 1587159 1905169 1969751 2371741 2449503 2532537 4761477 5715507 5909253 7115223 7348509 7597611 16602187 17146521 17727759 21345669 49806561 51439563 53183277 64037007 116215309 149419683 348645927 448259049 1045937781 3137813343