Search a number
-
+
29319003208 = 23111997118059
BaseRepresentation
bin11011010011100011…
…000111110001001000
32210200021212200101201
4123103203013301020
5440021131100313
621245143553544
72055360262315
oct332343076110
983607780351
1029319003208
11114858a4070
125822a5b8b4
1329c327a511
1415c1c19d0c
15b68e5c0dd
hex6d38c7c48

29319003208 has 64 divisors (see below), whose sum is σ = 63195552000. Its totient is φ = 12611707200.

The previous prime is 29319003157. The next prime is 29319003209. The reversal of 29319003208 is 80230091392.

It is a super-2 number, since 2×293190032082 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29319003209) 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, 1614483 + ... + 1632541.

It is an arithmetic number, because the mean of its divisors is an integer number (987430500).

Almost surely, 229319003208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29319003208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31597776000).

29319003208 is an abundant number, since it is smaller than the sum of its proper divisors (33876548792).

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

29319003208 is a wasteful number, since it uses less digits than its factorization.

29319003208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19066 (or 19062 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 29319003208 in words is "twenty-nine billion, three hundred nineteen million, three thousand, two hundred eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 971 1672 1942 3884 7768 10681 18059 18449 21362 36118 36898 42724 72236 73796 85448 144472 147592 198649 202939 343121 397298 405878 686242 794596 811756 1372484 1589192 1623512 2744968 3774331 7548662 15097324 17535289 30194648 35070578 70141156 140282312 192888179 333170491 385776358 666340982 771552716 1332681964 1543105432 2665363928 3664875401 7329750802 14659501604 29319003208