Search a number
-
+
29869394373 = 32721337140813
BaseRepresentation
bin11011110100010110…
…101100100111000101
32212002122112110010200
4123310112230213011
5442133031104443
621415524441113
72105122443300
oct336426544705
985078473120
1029869394373
11117385490a5
125957249199
132a802c6a70
141634d6bb37
15b9c42add3
hex6f45ac9c5

29869394373 has 72 divisors (see below), whose sum is σ = 55510568568. Its totient is φ = 15329357568.

The previous prime is 29869394323. The next prime is 29869394411. The reversal of 29869394373 is 37349396892.

29869394373 is a `hidden beast` number, since 2 + 98 + 6 + 93 + 94 + 373 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3871701729 + 25997692644 = 62223^2 + 161238^2 .

It is not a de Polignac number, because 29869394373 - 28 = 29869394117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 29869394373.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29869394323) 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 71 ways as a sum of consecutive naturals, for example, 141715 + ... + 282527.

It is an arithmetic number, because the mean of its divisors is an integer number (770980119).

Almost surely, 229869394373 is an apocalyptic number.

It is an amenable number.

29869394373 is a deficient number, since it is larger than the sum of its proper divisors (25641174195).

29869394373 is a wasteful number, since it uses less digits than its factorization.

29869394373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140883 (or 140873 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 29869394373 in words is "twenty-nine billion, eight hundred sixty-nine million, three hundred ninety-four thousand, three hundred seventy-three".

Divisors: 1 3 7 9 13 21 37 39 49 63 91 111 117 147 259 273 333 441 481 637 777 819 1443 1813 1911 2331 3367 4329 5439 5733 10101 16317 23569 30303 70707 140813 212121 422439 985691 1267317 1830569 2957073 5210081 5491707 6899837 8871219 12813983 15630243 16475121 20699511 36470567 38441949 46890729 62098533 67731053 89697881 109411701 115325847 203193159 255293969 269093643 328235103 474117371 609579477 765881907 807280929 1422352113 2297645721 3318821597 4267056339 9956464791 29869394373