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29343965013 = 3411174345053
BaseRepresentation
bin11011010101000010…
…010101111101010101
32210202000211212120000
4123111002111331111
5440044023340023
621251435001513
72056112405256
oct332502257525
983660755500
1029343965013
11114989a3260
12582b299299
1329c84aa20c
1415c5276b2d
15b6b23d243
hex6d5095f55

29343965013 has 80 divisors (see below), whose sum is σ = 51811379136. Its totient is φ = 16348469760.

The previous prime is 29343965011. The next prime is 29343965017. The reversal of 29343965013 is 31056934392.

29343965013 is a `hidden beast` number, since 29 + 34 + 3 + 96 + 501 + 3 = 666.

It is not a de Polignac number, because 29343965013 - 21 = 29343965011 is a prime.

It is a super-2 number, since 2×293439650132 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 29343965013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29343965011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 628795 + ... + 673847.

Almost surely, 229343965013 is an apocalyptic number.

It is an amenable number.

29343965013 is a deficient number, since it is larger than the sum of its proper divisors (22467414123).

29343965013 is a wasteful number, since it uses less digits than its factorization.

29343965013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45136 (or 45127 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 29343965013 in words is "twenty-nine billion, three hundred forty-three million, nine hundred sixty-five thousand, thirteen".

Divisors: 1 3 9 11 17 27 33 43 51 81 99 129 153 187 297 387 459 473 561 731 891 1161 1377 1419 1683 2193 3483 4257 5049 6579 8041 12771 15147 19737 24123 38313 45053 59211 72369 135159 217107 405477 495583 651321 765901 1216431 1486749 1937279 2297703 3649293 4460247 5811837 6893109 8424911 13380741 17435511 20679327 21310069 25274733 32933743 40142223 52306533 62037981 63930207 75824199 98801229 156919599 191790621 227472597 296403687 362271173 575371863 682417791 889211061 1086813519 1726115589 2667633183 3260440557 9781321671 29343965013