Search a number
-
+
29319445908 = 2235191587581
BaseRepresentation
bin11011010011100100…
…110011110110010100
32210200022201011200000
4123103210303312110
5440021234232113
621245201251300
72055364115064
oct332344636624
983608634600
1029319445908
1111486076735
125823033b30
1329c33a3b7c
1415c1cd33a4
15b68ee8373
hex6d3933d94

29319445908 has 72 divisors (see below), whose sum is σ = 80903178720. Its totient is φ = 9258766560.

The previous prime is 29319445907. The next prime is 29319445973. The reversal of 29319445908 is 80954491392.

29319445908 is a `hidden beast` number, since 2 + 9 + 3 + 1 + 9 + 44 + 590 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29319445907) 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 23 ways as a sum of consecutive naturals, for example, 775323 + ... + 812258.

It is an arithmetic number, because the mean of its divisors is an integer number (1123655260).

Almost surely, 229319445908 is an apocalyptic number.

It is an amenable number.

29319445908 is an abundant number, since it is smaller than the sum of its proper divisors (51583732812).

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

29319445908 is a wasteful number, since it uses less digits than its factorization.

29319445908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587619 (or 1587605 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 29319445908 in words is "twenty-nine billion, three hundred nineteen million, four hundred forty-five thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4617 6156 9234 18468 1587581 3175162 4762743 6350324 9525486 14288229 19050972 28576458 30164039 42864687 57152916 60328078 85729374 90492117 120656156 128594061 171458748 180984234 257188122 271476351 361968468 385782183 514376244 542952702 771564366 814429053 1085905404 1543128732 1628858106 2443287159 3257716212 4886574318 7329861477 9773148636 14659722954 29319445908