Search a number
-
+
29713600056 = 2337672639801
BaseRepresentation
bin11011101011000100…
…011000111000111000
32211200210101021111210
4123223010120320320
5441323140200211
621352241323120
72101221301410
oct335304307070
984623337453
1029713600056
1111668609568
1259130364a0
132a56c4968a
14161c3b5640
15b8d9049a6
hex6eb118e38

29713600056 has 64 divisors (see below), whose sum is σ = 86163137280. Its totient is φ = 8362886400.

The previous prime is 29713600051. The next prime is 29713600057. The reversal of 29713600056 is 65000631792.

It is a junction number, because it is equal to n+sod(n) for n = 29713599987 and 29713600023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29713600051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1308645 + ... + 1331156.

It is an arithmetic number, because the mean of its divisors is an integer number (1346299020).

Almost surely, 229713600056 is an apocalyptic number.

It is an amenable number.

29713600056 is an abundant number, since it is smaller than the sum of its proper divisors (56449537224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29713600056 is a wasteful number, since it uses less digits than its factorization.

29713600056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639884 (or 2639880 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 29713600056 in words is "twenty-nine billion, seven hundred thirteen million, six hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 67 84 134 168 201 268 402 469 536 804 938 1407 1608 1876 2814 3752 5628 11256 2639801 5279602 7919403 10559204 15838806 18478607 21118408 31677612 36957214 55435821 63355224 73914428 110871642 147828856 176866667 221743284 353733334 443486568 530600001 707466668 1061200002 1238066669 1414933336 2122400004 2476133338 3714200007 4244800008 4952266676 7428400014 9904533352 14856800028 29713600056